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Transcript
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B INSTRUCTIONAL LESSON & ASSESSMENT
For this TEKS students should be able to compare and classify shapes using geometric vocabulary and
properties. Focus for this lesson is the use of properties to classify quadrilaterals. A review of properties and
and classification of triangles is included in Instructional/Student Activity #2.
BEFORE THE LESSON:
1. Make teacher transparencies.
2. Make one copy per student of page 3 – Quadrilaterals.
3. Make copies of Student Activity sheets, Open-Ended and Mini-Assessment.
4. Materials for Instructional/Student Activity #2: 1 set of Geometry Go Fishing Cards per
group of 4 students (copy on cardstock, laminate, and cut apart), Student Activity #2, 1
Geometry Go-Fishing Properties Chart per group of 4 students (copy the Quadrilaterals
chart on one side of cardstock and the Triangles chart of the other side of the cardstock,
then laminate), 1 Number cube per group of 4 students
MATH BACKGROUND
Understanding how to classify quadrilaterals
A polygon is a closed plane figure formed from line segments that meet only at their endpoints. A
quadrilateral is a 4-sided polygon. The sum of the measures of the four angles of any quadrilateral is
360  . Students in Grade 7 should be familiar with the attributes and classification of the following
quadrilaterals.
Type
Example
Parallelogram
Consecutive Angles
Properties
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
Rectangle
Adjacent Sides
Rhombus
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
Square
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
Trapezoid
 Exactly one pair of opposite sides is parallel.
 Exactly two pairs of consecutive angles are
supplementary.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 1
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B INSTRUCTIONAL ACTIVITY #1
QUADRILATERALS
 A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line
segments that meet only at their endpoints.
 A quadrilateral has four sides which are line
segments.
 Some quadrilaterals have special traits, so
they have special names: trapezoid,
parallelogram, rectangle, rhombus, and
square.
 The sum of the measures of the four angles
of any quadrilateral is 360.
.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 2
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Students in Grade 7 should be familiar with the attributes and
classification of the following quadrilaterals.
Quadrilaterals
Type
Example
Parallelogram
Consecutive Angles
Rectangle
Adjacent Sides
Properties
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
Rhombus
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
Square
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
 Exactly one pair of opposite sides is parallel.
 Exactly two pairs of consecutive angles are
Trapezoid
supplementary.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 3
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B STUDENT ACTIVITY #1
QUADRILATERALS
A polygon is a ____________ ____________ figure formed from _________ _____________ that
meet only at their ___________________.
A quadrilateral is a ____-sided _________________.
Parallelogram
A parallelogram is a _______________________.
In a parallelogram both pairs of __________________ sides are ________________.
In a parallelogram both pairs of __________________ sides are ________________.
In a parallelogram _____________________ angles are _______________________.
In a parallelogram _______ angles are supplementary.
Sketch two examples of parallelograms in the space below.
Rectangle
A rectangle is a _______________________.
In a rectangle both pairs of __________________ sides are ________________.
In a rectangle both pairs of __________________ sides are ________________.
In a rectangle both pairs of __________________ sides are perpendicular.
In a rectangle all ______________ angles are ______________________.
Sketch two examples of rectangles in the space below.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 4
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Rhombus
A rhombus is a _______________________.
In a rhombus both pairs of __________________ sides are ________________.
In a rhombus _____________ sides are ________________.
In a rhombus both ___________ of __________________angles are ___________________.
In a rhombus _______________________ angles are __________________________.
Sketch two examples of rhombuses in the space below.
Square
A square is a _______________________.
In a square both pairs of __________________ sides are ________________.
In a square ___________ sides are ________________.
In a square all pairs of adjacent sides are ________________________.
In a square all ___________ are __________ angles.
Sketch two examples of squares in the space below.
Trapezoid
A trapezoid is a _______________________.
In a trapezoid exactly _______ pair of _________________ sides is ________________.
In a trapezoid exactly _______ pairs of ________________ angles are _____________________.
Sketch two examples of trapezoids in the space below.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 5
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B INSTRUCTIONAL ACTIVITY #2
MATERIALS: 1 set of Geometry Go Fishing Cards per group of 4 students (copy one side of each
page on cardstock and copy Geometry Go-Fishing logo on the opposite side, laminate, and cut
apart), Student Activity #2, 1 Geometry Go-Fishing Properties Chart per group of 4 students (copy
the Quadrilaterals chart on one side of cardstock and the Triangles chart on the other side of the
cardstock, then laminate), 1 Number cube per group of 4 students
PROCEDURE:
 Organize students into groups of 4.
 Give each group of 4 one set of Geometry Go Fishing Cards, Properties Chart and number cube.
 Students place the set of cards facedown in a stack in the center of their work area.
 Students play Geometry Go Fishing as outlined in Student Activity #2.
Ask the following questions after you have distributed the Geometry Go-Fishing Cards and
the Properties chart and before students begin playing the game:
 What are some properties to look for in triangles and quadrilaterals?
Listen for the following as you roam the room:
 Do students use correct geometric vocabulary to ask for cards during the game?
 Do students ask for correct properties or figures when they ask for cards?
 Do students recognize that specific properties may belong to more than one figure?
 Do students verbalize a variety of geometric terms?
 Do students analyze each shape with accurate vocabulary?
 Do students formulate good questions when asking for a card during the game?
Look for the following as you roam the room:
 Do the students correctly match properties and figures?
 Do the students correctly name the figures?
 Do the students interact with group members to agree or disagree with card matches?
Answers to these questions can be used to support decisions related to further whole class
instruction or group and individual student instruction during tutorial settings.
.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 6
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
GEOMETRY GO-FISHING CARDS
(Copy on cardstock, copy TEKSING TOWARD TAKS logo on back, laminate,
and cut apart along the dashed lines. Make one set of cards per group of 4
students.)
Both pairs of opposite
sides are parallel.
Both pairs of opposite
sides are parallel.
Both pairs of opposite
sides are congruent.
Both pairs of opposite
sides are congruent.
Both pairs of opposite
angles are congruent.
Consecutive angles
are supplementary.
All pairs of adjacent
sides are
perpendicular.
All angles are right
angles.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 7
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Both pairs of opposite
sides are parallel.
Both pairs of opposite
sides are parallel.
All sides are
congruent.
All sides are
congruent.
Both pairs of opposite
angles are congruent.
Consecutive angles
are supplementary.
All pairs of adjacent
sides are
perpendicular.
All angles are right
angles.
Exactly one pair of
opposite sides is
parallel.
Exactly two pairs of
consecutive angles
are supplementary.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 8
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
No sides are
congruent.
No angles are
congruent.
At least 2 congruent
sides.
Exactly one angle is a
right angle.
Two angles, called the
base angles are
congruent.
All three sides are
congruent.
All three angles are
congruent.
The acute angles are
complementary.
The side opposite the
right angle, called the
hypotenuse, is the
longest side.
All three angles are
acute.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 9
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Exactly one angle is
an obtuse angle.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 10
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
The sum of the
measures of the
angles is 180 .
o
The sum of the
measures of the
angles is 180 .
o
The sum of the
measures of the
angles is 180 .
o
TEKSING TOWARD TAKS
 2005
The sum of the
measures of the
angles is 180 .
o
6 Weeks 2 - Lesson 7
Page 11
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Parallelogram
Parallelogram
Rectangle
Rectangle
Rhombus
Rhombus
Square
Square
Trapezoid
Scalene Triangle
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 12
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
Isosceles Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
The sum of the
measures of the
angles is 360 .
o
The sum of the
measures of the
angles is 360 .
o
TEKSING TOWARD TAKS
 2005
The sum of the
measures of the
angles is 360 .
o
6 Weeks 2 - Lesson 7
Page 13
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
TEKSING TOWARD TAKS
 2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
T E K SING TO WA RD TA K S
M a t h em a t ic s
Geometry Go-Fishing
TEKSING TOWARD TAKS  2005
6 Weeks 2 - Lesson 7
Page 14
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
GEOMETRY GO-FISHING PROPERTIES CHART
QUADRILATERALS
Figure
Example
Parallelogram
Consecutive Angles
Properties
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
 Both pairs of opposite sides are parallel.
 Both pairs of opposite sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
Rectangle
Adjacent Sides
Rhombus
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 Both pairs of opposite angles are congruent.
 Consecutive angles are supplementary.
Square
 Both pairs of opposite sides are parallel.
 All sides are congruent.
 All pairs of adjacent sides are perpendicular.
 All angles are right angles.
Trapezoid
 Exactly one pair of opposite sides is parallel.
 Exactly two pairs of consecutive angles are
supplementary.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 15
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
GEOMETRY GO-FISHING PROPERTIES CHART
TRIANGLES
Type
Example
Properties
 No sides are congruent.
 No angles are congruent.
Scalene triangle
Congruent sides
 At least 2 congruent sides.
 Two angles, called the base angles are
congruent.
Isosceles triangle
Congruent angles
 All three sides are congruent.
 All three angles are congruent.
Equilateral triangle
Right triangle
 Exactly one angle is a right angle.
 The acute angles are complementary.
 The side opposite the right angle, called
the hypotenuse, is the longest side
Acute triangle
 All three angles are acute.
 Exactly one angle is an obtuse angle.
Obtuse triangle
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 16
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B STUDENT ACTIVITY #2
Geometry Go-Fishing
MATERIALS:
1 set of Geometry Go Fishing Cards per group of 4 students
Student Activity #2
1 Geometry Go-Fishing Properties Chart per group of 4
1 Number cube per group of 4 students
GOAL:
To make books of Geometry cards. Each book must have 4 cards: a figure card, a name card
that matches the figure, and two property cards that match the figure. The winner of the
game will be the player with the most books at the end of the game.
BEGIN:
Place the Geometry-Go-Fishing Property Chart in the center of the table.
Shuffle the cards and deal 6 cards to each player. Place the remaining cards face down in
the middle of the table (the TESKING TOWARD TAKS side up) for the DRAW PILE.
Each player rolls the number cube. The player with the largest number is Player 1. If there
is a tie for the largest number, roll again. Player 2 is to the left of Player 1. Player 3 is to
the left of Player 2, and Player 4 is to the left of Player 3.
RULES:
Player 1 looks at his/her hand of cards and secretly identifies a card needed to complete a
book. Player 1 asks any player for the card, saying, “Do you have the ______ card?” If the
player has that card, the player says, “Yes, I do” and gives the card to Player 1. Player 1
continues asking for cards and collecting cards until another player answers, “No, I don’t,
Geometry Go-Fishing.” Player 1 then draws a card from the top of the DRAW PILE.
Player 2 now begins his/her turn and follows the same rules as Player 1. The game continues
to the next player at the end of each player’s turn.
If any player makes a book of 4 cards at any time, he says “Geometry Book” and lays the 4
cards out for the rest of the players to see. If all players agree the book is correct, the
player places the four cards in a stack on the table in front of him. If the players agree the
books is not correct, the player returns the cards to his hand. Players may use the Geometry
Go-Fishing Properties Chart at any time during the game or to confirm a “Geometry Book” is
correct.
When the DRAW PILE is empty, play continues, but without the draw from the pile rule.
The game ends when any player has 6 Geometry Books.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 17
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
o.
7.6B STUDENT ACTIVITY #3
Look at these plane figures.
Figure 1
Figure 2
Figure 3
Figure 4
Which figure appear does not appear to have both pairs of opposite sides parallel and all pairs of
consecutive angles supplementary?
Figure 1 appears to be a ____________________________.
In a _________________________ both pairs of opposite sides are __________________, and
all pairs of consecutive angles are ____________________________.
Figure 2 appears to be a ____________________________.
In a ____________________________both pairs of opposite sides are __________________,
and all pairs of consecutive angles are ____________________________.
Figure 3 appears to be a __________________.
In a __________________both pairs of opposite sides are __________________, and all pairs of
consecutive angles are ____________________________.
Figure 4 appears to be a ____________________________.
In a ____________________________only _______pair of opposite sides is parallel, and only two
pairs of consecutive angles are ____________________________.
Only the sides and angles in Figure _______ meet the requirements.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 18
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B OPEN ENDED #1
Classify the following quadrilaterals according to the given information.
7
140
40
1
7
40
2
7
3
140
7
150
30
30
4
5
150
1. What mathematical concepts and vocabulary do I need to know to be able to work this problem?
2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not?
3. Arrowhead markings that are identical on the sides on a pair of sides of a polygon indicate the
sides are parallel. Add any additional arrowhead markings that would be appropriate to the
figures above.
4. What problem-solving strategy or strategies will I use to help solve this problem?
5. Extension (7.9A): If the perimeter of a rhombus is 48 units, find the length of a side of the
rhombus.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 19
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
7.6B OPEN ENDED #1
Classify the following quadrilaterals according to
given information.
7
40
140
1
7
2
7
140
40
7
3
30
150
4
30
TEKSING TOWARD TAKS
5
150
 2005
6 Weeks 2 - Lesson 7
Page 20
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
NAME___________________
DATE___________
SCORE ___/5
7.6B Mini Assessment
1.
If AB is parallel to DC and AD is parallel to BC ,
which of the following best describes quadrilateral
ABCD?
A
4.
B
C
D
A
Square
B
Trapezoid
C
Rhombus
D
Parallelogram
5.
2.
Which of the following statements will be true for all
trapezoids?
A
The figure must have two congruent sides.
B
The figure will have exactly two parallel sides.
C
The figure must have two right angles.
D
The figure might have all four sides congruent.
Which of the following statements will not be true for
all rectangles?
A
All four angles are right angles.
B
Opposite sides are congruent.
C
Adjacent sides are perpendicular.
D
All four sides are congruent.
Which of the following statements will not be true for
all rhombuses?
A
All four angles are right angles.
B
All four sides are congruent.
C
Consecutive angles are supplementary.
D
Opposite angles are congruent.
3. Which of the following statements will be true for all
squares?
A
The figure may have only two congruent sides.
B
The figure must have only two right angles.
C
The figure will have exactly two parallel sides.
D
The figure will have all four sides congruent.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 21
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify shapes including triangles, quadrilaterals, pentagons, and circles.
NAME___________________
DATE___________
SCORE ___/5
7.6B Homework #1
1. Complete the following statements about the attributes of a rectangle. Sketch a rectangle.
 A rectangle will have 4 _______angles.
 A rectangle will have 2 pairs of __________ and __________ sides.
 Adjacent sides of a rectangle will be _________________.
 A rectangle’s angles will have a sum of ___________degrees.
 If the rectangle has 4 congruent sides, then it is called a ____________.
 The diagonals of a rectangle will be ____________.
Sketch:
2. Complete the following statements about the attributes of a trapezoid. Sketch a trapezoid.
 A trapezoid will have exactly 2 pairs of _______angles.
 A trapezoid will have exactly 1 pair of __________ sides.
 A trapezoid’s angles will have a sum of ___________degrees.
Sketch:
3. Complete the following statements about the attributes of a parallelogram. Sketch a parallelogram.
 A parallelogram will have 2 pairs of _______ angles.
 Consecutive angles will be ________________.
 A parallelogram will have 2 pair of __________ and _________sides.
 A parallelogram’s angles will have a sum of ___________degrees.
 If the parallelogram has four congruent sides, then it is called a ________.
Sketch:
4. A rectangle has _______lines of symmetry. Sketch a rectangle and its lines of symmetry.
5. Draw and label a rectangle and one of its diagonals. Make a statement about the angles created when the diagonal was drawn.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 22
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify shapes including triangles, quadrilaterals, pentagons, and circles.
NAME___________________
DATE___________
SCORE ___/5
7.6B Homework #2
1.
Complete the following statements about the attributes of a square.
 A square has 4 _______angles.
 A square has 2 sets of ________ sides.
 The angles of a square have a sum of ___________degrees.
 A square will have _______congruent sides.
 Adjacent sides of a square will be _____________
Sketch a square.
Sketch:
2.
Complete the following statements about the attributes of a rhombus. Sketch a rhombus.
 A rhombus has 2 pairs of _______ angles.
 Consecutive angles are ______________.
 A rhombus has 2 pairs of __________ sides.
 The angles of a rhombus have a sum of ___________degrees.
 A rhombus has __________congruent sides.
Sketch:
3.
Following is a list of attributes.
a.
b.
c.
d.
e.
f.
g.
4 right angles
4 congruent sides
2 pairs of parallel sides
Exactly 1 set of parallel sides
Exactly 2 pairs of supplementary angles
Adjacent sides are perpendicular
Sum of the measures of the angles is 360 degrees
Write the letters of the attributes that belong to each of the following quadrilaterals on the lines.
 Square: ________________
 Parallelogram: ________________
 Rectangle: ________________
 Rhombus: ________________
 Trapezoid: ________________
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 23
GRADE 7 MATHEMATICS
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties.
The student is expected to: (B) use properties to classify triangles and quadrilaterals.
4.
Look at the markings on the quadrilaterals below. If the same type of arrows ( ) are on two different sides of a
quadrilateral, it indicates the sides are parallel. Label each quadrilateral as a parallelogram, rectangle, square, rhombus, or
trapezoid.
5.
A 2-dimensional figure is a quadrilateral with 4 congruent sides. Is the quadrilateral a square? Can the figure be classified
as any other type of quadrilateral? Explain your answer.
TEKSING TOWARD TAKS
 2005
6 Weeks 2 - Lesson 7
Page 24