Download Chapter 7 Test

Chapter 7 Test
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Use this diagram to give a possible name to each figure.
M
N
P
R
1. six different rays
A
B M, N, P, R
2. another name for ray
A
B
C
D
C
D
3. What type of angle is the following: acute, right, obtuse, or straight?
A Acute angle
B Obtuse angle
C Right angle
D Straight angle
4. Estimate the measure of the following angle.
A 60°
B 160°
5. Estimate the measure of the following angle.
C 85°
D 100°
A 60°
B 15°
C 85°
D 120°
6. Identify the type of angle pair shown.
5
6
A Adjacent angles
B Vertical angles
7. Find the unknown angle measure. The angles are supplementary.
78°
c
A 112°
B 12°
C 168°
D 102°
8. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting
D Skew
9. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting
D Skew
10. Sidewalks connecting buildings G, H, and J form a triangle. Two of the angles measure 32° and 78°. Classify the
triangle.
A Obtuse triangle
B Acute triangle
C Right triangle
11. Use the diagram to find the measure of NLP.
N
52°
Q
121°
P
L
M
A 79°
B 21°
C 69°
D 59°
12. Give the most descriptive name for the figure.
A Square
B Rectangle
C Parallelogram
D Rhombus
Complete the statement.
13. A quadrilateral whose opposite sides are parallel and congruent and whose opposite angles are congruent is a ____.
A trapezoid
C kite
B heptagon
D parallelogram
14. A quadrilateral with exactly two right angles is a ____.
A trapezoid
C rectangle
B square
D hexagon
15. A rectangle has four ____ angles.
A 90°
B 80°
C 60°
D 360°
16. Tien has a picture of a 7-inch-tall regular hexagon on her shirt. What is the measure of each angle of the hexagon?
A 49 inches
C 102.9°
B 720°
D 120°
17. Identify a possible pattern. Use the identified pattern to draw the next figure.
A Double the number of circles.
C Double the number of circles.
B Double the number of circles.
D Double the number of circles.
18. Tell whether the figures in the pair are congruent. If not, explain.
1.1 m
1.4 m
1.9 m
1m
1m
1.9 m
1.4 m
1.1 m
A These figures are congruent.
B These figures are not congruent because they are not the same size.
19. Joseph’s basement floor is missing a section of carpet as shown in the figure below. He goes to the store to find a
piece of carpet congruent to the piece missing. Which piece of carpet should he buy?
A Carpet 1
B Carpet 2
20. Which quadrilateral is congruent to the bottom of the box?
2.5 ft
5 ft
7 ft
A
C
5 ft
2.5 ft
7 ft
7 ft
B
D
5 ft
5 ft
2.5 ft
7 ft
21. Tell whether the boots represent a rotation, reflection, or translation.
A Reflection
B Rotation
C Translation
22. Tell whether the boots represent a rotation, reflection, or translation.
A Reflection
B Rotation
C Translation
23. Determine whether the dashed line appears to be a line of symmetry.
A The line appears to be a line of symmetry.
B The line does not appear to be a line of symmetry.
Chapter 7 Test
Answer Section
MULTIPLE CHOICE
1. ANS: C
A ray has one endpoint and extends forever in one direction. A ray is named by its endpoint and another point on
the ray in that order. Additional rays on the diagram are ray
and ray
.
REF: Page 323
OBJ: 7-1.2 Identifying Line Segments and Rays
TOP: 7-1 Points, Lines, and Planes;
KEY: line segment, ray
NOT: /A/ Are these line segments or rays? /B/ Are these rays or points? /C/ Correct! /D/ Are these rays or lines?
2. ANS: C
A ray has one endpoint and extends forever in one direction. A ray is named by its endpoint and another point on
the ray in that order.
REF: Page 323
OBJ: 7-1.2 Identifying Line Segments and Rays
TOP: 7-1 Points, Lines, and Planes;
KEY: line segment, ray
NOT: /A/ Is this ray pointing in the same direction as the ray in question? /B/ Is this a ray or a line segment?/C/
Correct! /D/ Is this a ray or a line?
3. ANS: A
A right angle measures 90°. An acute angle measures less than 90°. An obtuse angle measures greater than 90° but
less than 180°. A straight angle measures exactly 180°.
REF: Page 326
OBJ: 7-2.1 Measuring an Angle with a Protractor
STO: 2.01
TOP: 7-2 Angles
KEY: angle, measurement, protractor
NOT: /A/ Correct! /B/ Does this angle measure 180° and form a line? /C/ Does this angle measure 90°? /D/ Does
this angle measure greater than 90°?
4. ANS: D
This angle appears to measure between 90° and 135°, but closer to 90°. So a good estimate is about 100°.
REF: Page 327
OBJ: 7-2.3 Estimating Angle Measures STO: 2.01
TOP: 7-2 Angles
KEY: angle, measurement, estimation
NOT: /A/ Does this angle appear to measure greater or less than 90°? /B/ Does this angle appear to measure
greater or less than 135°?/C/ Is an 85° angle acute or obtuse? /D/ Correct!
5. ANS: B
This angle appears to measure between 0° and 45°, but closer to 0°. So a good estimate is about 15°.
REF: Page 327
OBJ: 7-2.3 Estimating Angle Measures STO: 2.01
TOP: 7-2 Angles
KEY: angle, measurement, estimation
NOT: /A/ Does this angle appear to measure greater or less than 45°? /B/ Correct! /C/ Is this angle closer to 90° or
0°? /D/ Does this angle appear to measure greater or less than 90°?
6. ANS: B
The angles are formed by two intersecting lines and are opposite each other; they are vertical angles.
REF:
STO:
NOT:
7. ANS:
Page 332
OBJ: 7-3.1 Identifying Types of Angle Pairs
3.01
TOP: 7-3 Angle Relationships
KEY: angle, compare, relationship, angle pairs
/A/ Are these angles side by side? /B/ Correct!
D
The sum of the given angle measure and the unknown angle measure is 180°.
REF: Page 333
OBJ: 7-3.2 Identifying an Unknown Angle Measure
STO: 3.01
TOP: 7-3 Angle Relationships
KEY: angle, measurement, relationship
NOT: /A/ Do supplementary angle measures add up to 180° or 190°? /B/ Should you subtract from 90° or 180°?
/C/ Should you add the given angle measure to 90° or subtract it from 180°?/D/ Correct!
8. ANS: C
Lines that cross at one common point are intersecting.
REF: Page 337
OBJ: 7-4.1 Classifying Pairs of Lines
STO: 3.01
TOP: 7-4 Classifying Lines
KEY: line relationship, classify
NOT: /A/ Are these lines in the same plane and never intersect? /B/ Do these lines intersect to form 90° angles?
/C/ Correct! /D/ Are these lines in different planes and not parallel or perpendicular?
9. ANS: D
These lines are in different planes and are not parallel or perpendicular.
REF: Page 337
OBJ: 7-4.1 Classifying Pairs of Lines
STO: 3.01
TOP: 7-4 Classifying Lines
KEY: line relationship, classify
NOT: /A/ Are these lines in the same plane, and do they never intersect? /B/ Do these lines intersect to form 90°
angles? /C/ Do these lines cross at one common point? /D/ Correct!
10. ANS: B
Subtract the two given angle measures from 180° to solve for the third angle measure. A right triangle has one
angle that measures 90°, an obtuse triangle has one angle that measures greater than 90°, and all three angles in an
acute triangle are acute.
REF: Page 344
OBJ: 7-5.1 Application: Classify Triangles
STO: 3.01
TOP: 7-5 Triangles
KEY: triangle, classify
NOT: /A/ Did you solve for the third angle to help you classify the triangle?/B/ Correct! /C/ How can you solve
for the third angle to help you classify the triangle?
11. ANS: C
Use knowledge about complementary, supplementary, vertical, and adjacent angles and knowledge about triangles
to find the angle measure in question.
REF: Page 345
OBJ: 7-5.2 Using Properties of Angles to Label Triangles
STO: 3.01
TOP: 7-5 Triangles
KEY: triangle, classify
NOT: /A/ Did you perform your calculations correctly? /B/ Which angle measure are you asked to find? /C/
Correct! /D/ What rules are you using to find the measure of this angle?
12. ANS: B
A rectangle is a parallelogram that has four 90° angles.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Does this figure have four congruent sides? /B/ Correct! /C/ Is this the most descriptive name for this
figure? /D/ Does a rhombus have four 90° angles?
13. ANS: D
A parallelogram has two sets of congruent parallel sides and two sets of congruent angles.
REF: Page 349
OBJ: 7-6.2 Classifying Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Are all opposite sides of a trapezoid parallel? /B/ Is a heptagon a quadrilateral? /C/ Are opposite sides of
a kite parallel?/D/ Correct!
14. ANS: A
A trapezoid is a quadrilateral with only one set of parallel sides that may have two right angles.
REF: Page 349
OBJ: 7-6.2 Classifying Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Correct! /B/ How many right angles are in a square? /C/ Does a rectangle have only two right angles?
/D/ Is a hexagon a quadrilateral?
15. ANS: A
A rectangle is a parallelogram with four 90° angles.
REF: Page 349
OBJ: 7-6.2 Classifying Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Correct! /B/ Does 4 times 80 equal 360? /C/ How many degrees are in a right angle? /D/ Is this the
measure of each angle or the sum of all the measures in a rectangle?
16. ANS: D
A regular hexagon has six congruent sides, so it can be divided into four triangles. Multiply the number of triangles
by 180°. To find the measure of each angle, divide the number of angles, 6, into the sum of all the angle measures
in a hexagon, 720°.
REF: Page 353
OBJ: 7-7.2 Application: Use Properties of Polygons to Determine Measures of Interior Angles
TOP: 7-7 Polygons
KEY: polygon, measurement, interior angle
NOT: /A/ Does the height of the hexagon have anything to do with this problem? /B/ Is this the measure of each
angle or the sum of all the angles of the hexagon? /C/ How many angles are in a hexagon?/D/ Correct!
17. ANS: D
Each figure has double the circles in the preceding figure.
REF: Page 356
OBJ: 7-8.1 Extending Geometric Patterns
TOP: 7-8 Geometric Patterns
KEY: pattern, geometric pattern
NOT: /A/ Is this double the number of circles in the previous figure? /B/ Does this continue the pattern of circles?
/C/ Would this continue the identified pattern?/D/ Correct!
18. ANS: A
Congruent figures are exactly the same size and shape. These figures are congruent.
REF: Page 362
OBJ: 7-9.1 Identifying Congruent Figures
STO: 3.04
TOP: 7-9 Congruence
KEY: congruence
NOT: /A/ Correct! /B/ Are these figures the same size and shape?
19. ANS: A
Congruent figures are exactly the same size and shape. Carpet 1 is congruent to the missing section of carpet.
REF: Page 363
OBJ: 7-9.2 Application: Identify Congruent Figures
STO: 3.04
TOP: 7-9 Congruence
KEY: congruence
NOT: /A/ Correct! /B/ Is this carpet the same size and shape as the missing piece of carpet?
20. ANS: A
Congruent figures are exactly the same size and shape.
REF: Page 363
OBJ: 7-9.2 Application: Identify Congruent Figures
STO: 3.04
TOP: 7-9 Congruence
KEY: congruence
NOT: /A/ Correct! /B/ Is this congruent to the bottom of the box or the side of the box? /C/ Is this congruent to the
bottom of the box or the front face? /D/ Is this figure congruent to the bottom of the box?
21. ANS: A
In a reflection, a figure is flipped across a line of reflection, and a mirror image is created. This is a reflection of
the boot.
REF: Page 365
OBJ: 7-10.1 Identifying Transformations
STO: 3.03
TOP: 7-10 Transformations
KEY: transformation
NOT: /A/ Correct! /B/ Has the figure been rotated about a point? /C/ Has the figure been moved along a straight
line?
22. ANS: C
In a translation, the figure is slid along a straight line without turning. This is a translation of the boot.
REF: Page 365
OBJ: 7-10.1 Identifying Transformations
STO: 3.03
TOP: 7-10 Transformations
KEY: transformation
NOT: /A/ Is one figure a mirror image of the other? /B/ Has the figure been rotated about a point? /C/ Correct!
23. ANS: A
A line of symmetry divides the figure such that the two halves are mirror images of each other.
REF: Page 369
OBJ: 7-11.1 Identifying Lines of Symmetry
TOP: 7-11 Symmetry
KEY: symmetry, line of symmetry
NOT: /A/ Correct! /B/ Are the two sides of the figure mirror images of each other?