Download Name

Name:________________________________________________________________________________Date:_____/_____/__________
Spiral Back:
Evaluate the following when x = -2 and y = 3
1)
-4y – x + (3+ x2)
Let’s see
what you
remember!
Sticker
Challenge!
Solve the following equations:
2) x – 6 = -20
3) 2x – 2 = -16
4)
3
4
x=6
5) When multiplying or dividing by a _________________ number, we
SWITCH the inequality sign!
Solve AND graph the following inequalities (SWITCH SIGN when
needed):
6)
x + 3 > -7
7)
-5x ≥ 20
8)
-4 <
𝑥
2
Name:____________________________________________________________________________________Date:_____/_____/__________
Math-7 NOTES
What: Quadrilaterals
Why: … so I can establish basic geometry vocabulary and focus on quadrilateral relationships.
Prior Knowledge/ Essential Vocabulary:
Congruent– objects that are the __________ size and
shape (
)
Line— goes ________________ in both directions. (⟷ )
Ray— goes forever in _________ direction. ( ⟶ )
Line Segment– has both a beginning and an _______. ( )
Parallel Lines– two or more lines that will never ________________ . ( I I )
Perpendicular – two line segments/ lines that meet in such a way that
___________ angles are formed. ( )
Vertex — __________ where two line segments meet.
Angle— formed when two _________ come together
at the same vertex.
Acute Angle— measures ________ than ______ .
Obtuse Angle–measures ________ than ______ .
Right Angle– measures exactly ______ .
Polygon— simple, closed figure formed by _____ or more line __________ .
Polygons are NOT __________ .
Adjacent Sides— two sides of a polygon that share the
same ___________ (side-by-side).
Opposite Sides— sides that are directly ________________
from one another.
Opposite Angles– angles directly across the figure– NOT
__________________.
Diagonal– line that connects two opposite _______________ .
Side AB is adjacent to both BC and AD!
Side AB is opposite only to DC!
Congruency versus parallel marks . . .
QUADRILATERALS:
Special properties of the
...
Trapezoid:
Whatever! I only
have ONE set of
parallel sides!
Parallelogram:
I have TWO SETS of
parallel sides!!
If a quadrilateral is a parallelogram, then it also has . . .
1) opposite sides _____________________
2) opposite _________________ congruent
3) _____________ that splits figure into two
congruent triangles (bisects figure)
4) diagonals that ______________ eachother
Remember, if the above is true for a parallelogram, then it is also true for __________ of the
parallelograms (rectangle, rhombus, and square)!!!
How are Quadrilaterals related?
ALWAYS UP,
SOMETIMES DOWN,
NEVER SIDE-to-SIDE!
Every quadrilateral has four angles that add up to __________ degrees!
Some more handy visuals . . .
The isosceles trapezoid
has ONE SET of opposite
sides congruent!
Wrap-it-Up/ Summary:
1) What do the rhombus, rectangle, and square ALL have in common?
2) What do the rectangle and square have in common?
3) What do the rhombus and square have in common?
IXL: W.4 Smart Score of 90!
STUDY THESE!
Name:____________________________________________________________________________________Date:_____/_____/__________
Directions: Spread out your quadrilateral pieces with the letters facing up so you can see them.
Then, fill out the chart, by finding all of the quadrilaterals with that specific requirement, list them by
letter alphabetically, and identify their name. Then put all the shapes back in the center and
move on to the next characteristic.
Characteristic:
1.
Has 4 right angles
2.
Has exactly ONE pair of
parallel sides
3.
Has two different pairs of
opposite sides congruent
4.
Has two different pairs of
adjacent sides congruent
5.
Has TWO sets of parallel sides
6.
Has all 4 sides congruent
7.
Has no sides congruent
8.
Has opposite sides congruent
9.
Has BOTH 4 congruent sides
AND 4 right angles
List ALL figure letters
that have this
characteristic:
Name of Quadrilaterals (most will
have more than one name):
Extra Questions:
10. Pull out quadrilaterals A, B, D, E, G, and K. What name best describes ALL of these quadrilaterals?
11. Pull out quadrilateral A. What is the best name for this quadrilateral? _______________________________
Now, what other names could also describe figure A?
______________________________________________________________________________________________________________
12. Pull out quadrilateral K. What is the best name for this quadrilateral? ______________________________
Now, what other names could also describe figure K?
______________________________________________________________________________________________________________
Name:____________________________________________________________________________________Date:_____/_____/__________
“Analyzing Quadrilaterals”
Circle the choice that makes the following statements true:
1.
A rectangle is a parallelogram.
A. Sometimes
B. Always
C. Never
2.
A parallelogram is a rectangle.
A. Sometimes
B. Always
C. Never
3.
A rectangle is a square.
A. Sometimes
B. Always
C. Never
4.
A trapezoid is a parallelogram.
A. Sometimes
B. Always
C. Never
5.
A square is a rhombus.
A. Sometimes
B. Always
C. Never
6.
A rhombus is a square.
A. Sometimes
B. Always
C. Never
7.
A kite is a trapezoid.
A. Sometimes
B. Always
C. Never
8.
A rhombus is a rectangle.
A. Sometimes
B. Always
C. Never
Circle ALL of the choices that could make the following statements true:
9.
10.
11.
12.
13.
A quadrilateral with exactly four congruent
(equal) sides.
A quadrilateral with exactly four right angles.
A quadrilateral with two sets of parallel sides.
A quadrilateral with exactly one set of parallel
sides.
A quadrilateral with two different sets of
opposite, congruent sides.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
14.
15.
16.
A quadrilateral with two different sets of adjacent,
congruent sides.
A quadrilateral with opposite sides congruent.
A quadrilateral that does NOT have to contain
right angles.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Circle ALL of the choices that represent the following figures:
17.
18.
19.
Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice):
20.
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
Square
Trapezoid
Rhombus
Parallelogram
Rectangle
Kite
21.
22.
Name:__________________________________________________________________________________ Date: _____/_____/__________
“Quadrilateral Characteristics”
True or False (correct “False” answers in order to make them “True”):
1) _____ Every square is also a rhombus.
2) _____ Every rhombus is also a square.
3) _____ Every rectangle is a parallelogram.
4) _____ Parallelograms have opposite sides that are perpendicular.
5) _____ A square is a special type of trapezoid.
6) _____ Not all rectangles are squares.
7) _____ It is impossible for a square to also be a rectangle.
8) _____ A trapezoid is a parallelogram.
9) _____ Every trapezoid is also a quadrilateral.
10) _____ A quadrilateral can have more than four angles.
11) _____ The trapezoid is the only quadrilateral that is NOT a
parallelogram.
12) _____ SpongeBob has square pants.