Download Practice Test Chapter 7

Practice Test Chapter 7
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Use the diagram to name each geometric figure.
D
B
G
F
C
1. three points
A
B A, C, E
C C, B, F
D D, E, F
Use the diagram to name each geometric figure.
R
Q
V
T
S
2. two lines
A
C R, S, T
B
D
Use this diagram to give a possible name to each figure.
M
N
P
R
3. three ways to name the line
A M, P, R
B
4. six different rays
A
C
D
C
B M, N, P, R
D
5. What type of angle is the following: acute, right, obtuse, or straight?
A Acute angle
B Obtuse angle
C Right angle
D Straight angle
6. Identify the type of angle pair shown.
2
1
A Adjacent angles
B Vertical angles
7. Find the unknown angle measure. The angles are supplementary.
26°
d
A 64°
B 116°
C 154°
D 164°
8. Find the unknown angle measures. Angles QRT and SRV are congruent.
T
h
Q
V
76°
j
R
A h = 7°, j = 7°
B h = 52°, j = 52°
S
C h = 104°, j = 104°
D h = 14°, j = 14°
9. Find the unknown angle measures. Angles ABD and CBF are congruent.
D
F
k
A
126°
l
B
A k = 63°, l = 63°
B k = 27°, l = 27°
C
C k = 54°, l = 54°
D k = 18°, l = 18°
10. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting
D Skew
11. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting, but not perpendicular
D Skew
12. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting
D Skew
13. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines.
A Parallel
B Perpendicular
C Intersecting
D Skew
14. Jason stacks a group of blocks, as shown in the following drawing. What type of lines are the lines highlighted on
the blocks?
A Parallel
B Perpendicular
C Intersecting
D Skew
15. Give the most descriptive name for the figure.
A Square
B Rectangle
C Parallelogram
D Rhombus
16. Give the most descriptive name for the figure.
A Square
B Rectangle
17. Give the most descriptive name for the figure.
C Parallelogram
D Rhombus
A Square
B Rectangle
C Parallelogram
D Rhombus
18. Give the most descriptive name for the figure.
A Trapezoid
B Rectangle
C Parallelogram
D Rhombus
19. Give the most descriptive name for the figure.
A Trapezoid
B Rectangle
C Parallelogram
D Rhombus
20. Give the most descriptive name for the figure.
A Parallelogram
B Quadrilateral
C Trapezoid
D Rectangle
Complete the statement.
21. A rectangle with four congruent sides can also be called a ____.
A square
C kite
B heptagon
D trapezoid
22. Tell whether the following shape is a polygon. If it is a polygon, state its name and whether it appears to be regular
or not regular.
A Polygon, triangle, regular
B Polygon, quadrilateral, regular
C Polygon, triangle, not regular
D Not a polygon
23. Tell whether the following shape is a polygon. If it is a polygon, state its name and whether it appears to be regular
or not regular.
A Polygon, octagon, not regular
B Polygon, nonagon, regular
C Not a polygon
D Polygon, octagon, regular
24. Identify a possible pattern. Use the identified pattern to draw the next figure.
A Triangles appear in a clockwise pattern
starting in the top heart.
C Triangles appear in a clockwise pattern
starting in the top heart.
B Triangles appear in a clockwise pattern
starting in the top heart.
D Triangles appear in a clockwise pattern
starting in the top heart.
25. Identify a possible pattern. Use the identified pattern to draw the next figure.
A 90° rotation of the figure
C 90° rotation of the figure
B 90° rotation of the figure
D 90° rotation of the figure
26. An art student is drawing the following pattern of filled-in circles and empty circles. Identify the pattern the art
student is drawing, and then tell the number of filled-in circles and empty circles that might appear in the next two
columns.
A Pattern: It starts from the left with a filled in circle. Then each following column contains
one more circle than the last, and the circles are alternately all filled in or all empty
Next two columns: 4 empty, 3 filled in
B Pattern: It starts from the left with a filled in circle. Then each following column contains
one more circle than the last, and the circles are alternately all filled in or all empty
Next two columns: 6 empty, 7 filled in
C Pattern: It starts from the left with a filled in circle. Then each following column contains
one more circle than the last, and the circles are alternately all filled in or all empty
Next two columns: 5 empty, 6 filled in
D Pattern: It starts from the left with a filled in circle. Then each following column contains
one more circle than the last, and the circles are alternately all filled in or all empty
Next two columns: 7 empty, 7 filled in
27. Tell whether the figures in the pair are congruent. If not, explain.
A These figures are congruent.
B These figures are not congruent because they are not the same size.
28. 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.
29. 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.
30. Find all of the lines of symmetry in the flag design.
A
C
B None
D
Practice Test Chapter 7
Answer Section
MULTIPLE CHOICE
1. ANS: C
A point is an exact location in the diagram and is labeled with a capital letter. Additional points on the diagram are
D and G.
REF: Page 322
OBJ: 7-1.1 Identifying Points, Lines, and Planes;
TOP: 7-1 Points, Lines, and Planes;
KEY: point, line, plane
NOT: /A/ Are these points or line segments in the diagram?/B/ Did you correctly identify the points in this
diagram? /C/ Correct! /D/ Do all three of these points appear on the diagram?
2. ANS: A
A line is a straight path that extends forever in both directions. Lines are named by two points
that appear on the line. Additional lines on the diagram are
.
REF: Page 322
OBJ: 7-1.1 Identifying Points, Lines, and Planes;
TOP: 7-1 Points, Lines, and Planes;
KEY: point, line, plane
NOT: /A/ Correct! /B/ Did you correctly identify two lines in this diagram? /C/ Are these points or lines in the
diagram?/D/ Do both of these lines appear on the diagram?
3. ANS: B
A line is a straight path that goes on forever in two directions and is named by any two points on the line.
Additional lines on the diagram are
.
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 lines or points? /B/ Correct! /C/ Are these rays or lines? /D/ Are these line segments or lines?
4. 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?
5. 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°?
6. ANS: B
The angles are formed by two intersecting lines and are opposite each other; they are vertical angles.
REF: Page 332
STO: 3.01
OBJ: 7-3.1 Identifying Types of Angle Pairs
TOP: 7-3 Angle Relationships
KEY: angle, compare, relationship, angle pairs
NOT: /A/ Are these angles side by side? /B/ Correct!
7. ANS: C
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/ Should you subtract from 90° or 180°? /B/ Should you add the given angle measure to 90° or subtract it
from 180°?/C/ Correct! /D/ Do supplementary angle measures add up to 180° or 190°?
8. ANS: B
The sum of the two unknown angle measures and the given 76° 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 these angle measures add up to 90° or 180°? /B/ Correct! /C/ Did you remember to divide the
measure by 2 since you have two equal measures? /D/ What is the sum of the three angle measures?
9. ANS: B
The sum of the two unknown angle measures and the given 126° 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/ What is the sum of the three angle measures?/B/ Correct! /C/ Did you remember to divide the measure
by 2 since you have two equal measures? /D/ Do these three angle measures add up to 90° or 180°?
10. ANS: A
The two lines are in the same plane and do not intersect; they are parallel.
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/ Correct! /B/ Do these lines intersect to form 90° angles? /C/ Do these lines cross at one common point?
/D/ Are these lines in different planes and not parallel or perpendicular?
11. ANS: B
The two lines intersect to form 90° angles; they are 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/ Correct! /C/ Do these lines form a
right angle at the point of intersection? /D/ Are these lines in different planes and not parallel or perpendicular?
12. 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?
13. 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!
14. ANS: D
These lines are in different planes and are not parallel or perpendicular; they are skew lines.
REF: Page 337
OBJ: 7-4.2 Application: Classify Pairs of Lines
STO: 3.01
TOP: 7-4 Classifying Lines
KEY: line relationship, classify
NOT: /A/ Are these lines in the same plane without intersecting? /B/ Do these lines intersect to create 90° angles?
/C/ Do these lines cross at one common point? /D/Correct!
15. ANS: D
A rhombus is a parallelogram that has four congruent sides.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Does this figure have four 90° angles? /B/ Does a rectangle have four congruent sides? /C/ Is this the
most descriptive name for this figure? /D/ Correct!
16. ANS: A
A square is a parallelogram that has four congruent sides and four 90° angles.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Correct! /B/ Do all rectangles have four congruent sides? /C/ Is this the most descriptive name for this
figure? /D/ Does a rhombus have four 90° angles?
17. 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?
18. ANS: C
A parallelogram’s opposite sides are parallel and congruent, and its opposites angles are congruent.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Does this figure have only one set of parallel sides? /B/Does this figure have four right angles? /C/
Correct! /D/ Does this figure have four congruent sides?
19. ANS: A
A trapezoid has exactly one set of parallel sides.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Correct! /B/ Does this figure have four right angles? /C/ Does this figure have two sets of parallel sides?
/D/ Does this figure have four congruent sides?
20. ANS: B
A quadrilateral is a plane figure with exactly four sides and angles.
REF: Page 348
OBJ: 7-6.1 Naming Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Does this figure have two sets of parallel sides? /B/ Correct! /C/ Does this figure have one set of parallel
sides?/D/ Does this figure have four right angles?
21. ANS: A
A square is a rectangle with four congruent sides.
REF: Page 349
OBJ: 7-6.2 Classifying Quadrilaterals
TOP: 7-6 Quadrilaterals
KEY: quadrilateral
NOT: /A/ Correct! /B/ Is a heptagon a quadrilateral?/C/ Is a kite a parallelogram? /D/ Are all opposite sides of a
trapezoid parallel?
22. ANS: C
This is a triangle that is not regular since the sides and angles do not appear to be congruent.
REF: Page 352
OBJ: 7-7.1 Identifying Polygons
TOP: 7-7 Polygons
KEY: polygon
NOT: /A/ Do all the sides and angles appear to be congruent in this figure? /B/ How many sides and angles are in
this figure?/C/ Correct! /D/ Is this a closed plane figure formed by at least three line segments?
23. ANS: D
This is a regular octagon since the sides and angles do appear to be congruent.
REF: Page 352
OBJ: 7-7.1 Identifying Polygons
TOP: 7-7 Polygons
KEY: polygon
NOT: /A/ Do all the sides and angles appear to be congruent in this figure? /B/ How many sides and angles are in
this figure?/C/ Is this a closed plane figure formed by at least three line segments? /D/ Correct!
24. ANS: B
A triangle appears in the top heart and then moves in a clockwise pattern around the figure.
REF: Page 356
OBJ: 7-8.1 Extending Geometric Patterns
TOP: 7-8 Geometric Patterns
KEY: pattern, geometric pattern
NOT: /A/ Are any hearts skipped in the identified pattern? /B/ Correct! /C/ Does the identified pattern seem to
stop at all? /D/ Would this continue the identified pattern?
25. ANS: B
The triangle with the dot is rotated 90° in a clockwise pattern.
REF: Page 356
OBJ: 7-8.1 Extending Geometric Patterns
TOP: 7-8 Geometric Patterns
KEY: pattern, geometric pattern
NOT: /A/ Is the dot in the correct corner to continue the pattern? /B/ Correct! /C/ Is this the correct rotation of the
triangle? /D/ Would this continue the identified pattern?
26. ANS: B
The pattern starts from the left with a filled in circle. Then each following column contains one more circle than
the last, and the circles are alternately all filled in or all empty.
REF: Page 357
OBJ: 7-8.3 Application: Identify and Continue Geometric Patterns
TOP: 7-8 Geometric Patterns
KEY: pattern, geometric pattern
NOT: /A/ Do the circles in the pattern seem to be increasing or decreasing?/B/ Correct! /C/ Does this pattern seem
to repeat any numbers of circles? /D/ Does this follow the previous pattern?
27. ANS: B
Congruent figures are exactly the same size and shape. These figures are not congruent.
REF: Page 362
OBJ: 7-9.1 Identifying Congruent Figures
STO: 3.04
TOP: 7-9 Congruence
KEY: congruence
NOT: /A/ Are these figures the same size and shape? /B/ Correct!
28. ANS: B
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/ Are the two sides of the figure mirror images of each other? /B/ Correct!
29. 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?
30. ANS: C
A line of symmetry is a line that divides the figure into two equal halves that are mirror images of each other. This
figure has two lines of symmetry.
REF: Page 370
OBJ: 7-11.3 Application: Identify Lines of Symmetry in Figures
TOP: 7-11 Symmetry
KEY: symmetry, line of symmetry
NOT: /A/ Does each of these lines divide the figure into mirror images? /B/ Can this flag be folded so that the two
sides match?/C/ Correct! /D/ Do rectangles have diagonal lines of symmetry?