Download ExamView - Geo_Chapter_3_Test_Review.tst

Geometry
Name: ____________________________________
Date: ____________________ Period: ________
Chapter 3 Test Review
Short Answer
In questions 1 - 4, use the following diagram.
In questions 5 and 6, use the following figure.
5. What is the value of x?
1. What is the angle relationship between ∠3 and ∠6?
6. What is the measure of the obtuse angle?
2. What pair of angles are corresponding angles?
7. If two angles lie between two lines and on opposite
sides of a transversal, then the angles are
________________________.
3. What is the angle relationship between ∠4 and ∠6?
4. What pair of angles are alternate exterior angles?
8. Which pair of angles are corresponding angles?
1
9. If two lines are cut by a transversal so the alternate
exterior angles are congruent, then the lines are
___________________.
12. What is m∠1 in the figure below?
10. What is one way to describe the vertical bars of a
football goalpost?
13. Based on the diagram, which theorem would you
use to support the statement m∠A + m∠B = 180o?
11. What value of x makes m || n?
14. Find m∠1.
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15. Which lines are parallel in the figure below?
←
→
←

→
18. Find x if CD ⊥ FG .
16. Find x and y.
19. What best describes the relationship between line
6x - 2y = 1 and line x + 3y = 12?
20. Write an equation of the line with slope = -2 and
y-intercept = 5.
17. What value must x be in order to conclude Q || R?
21. What is the equation of the line through the point
(2, 1) and perpendicular to the line through (-4, 1)
and (3, -2)?
22. What is the equation of the line that passes through
the point (-3, 5) with a slope of 4?
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23. Find the slope of a ladder placed 4 feet from the
wall touching the wall at a height of 12 feet.
25. What is the equation of the line passing through the
point (4, 1) that is parallel to the line with the
equation
6x - 3y = 21?
24. Describe the slope of the line passing through the
points A(-2, 3) and B(4, -3)
26. Describe the lines passing through the given points.
(parallel, perpendicular, or neither)
Line 1: (5, 8), (4, 3)
Line 2: (-4, 9), (-2, -1)
Other
←

→
←

→
27. Given: QS ⊥ PR
Prove: m∠PTS = 90°
28. Write a proof.
Given: l ⊥ n, m ⊥ n
Prove: ∠3 and ∠6 are supplementary
4
ID: A
Chapter 3 Test Review
Answer Section
SHORT ANSWER
1. ANS:
The angles are consecutive interior angles.
PTS: 1
2. ANS:
∠1 and ∠5
PTS: 1
3. ANS:
The angles are alternate interior angles.
PTS: 1
4. ANS:
∠1 and ∠7
PTS: 1
5. ANS:
18
PTS: 1
6. ANS:
130o
PTS: 1
7. ANS:
alternate interior angles
PTS: 1
8. ANS:
∠3 and ∠7
PTS: 1
9. ANS:
parallel
PTS: 1
1
ID: A
10. ANS:
parallel
PTS: 1
11. ANS:
20
PTS: 1
12. ANS:
28o
PTS: 1
13. ANS:
Consecutive Interior Angles Theorem
PTS: 1
14. ANS:
56o
PTS: 1
15. ANS:
p and q
PTS: 1
16. ANS:
x = 8, y = 11
PTS: 1
17. ANS:
36
PTS: 1
18. ANS:
15
PTS: 1
19. ANS:
perpendicular
PTS: 1
20. ANS:
y = -2x + 5
PTS: 1
2
ID: A
21. ANS:
7
11
y = x−
3
3
PTS: 1
22. ANS:
y = 4x + 17
PTS: 1
23. ANS:
3
PTS: 1
24. ANS:
negative
PTS: 1
25. ANS:
y = 2x - 7
PTS: 1
26. ANS:
neither
PTS: 1
OTHER
27. ANS:
Statements
←

→
Reasons
←

→
1. QS ⊥ PR
1. Given
2. ∠PTS is a right ∠
2. Definition of perpendicular lines
3. m∠PTS = 90 o
3. Definition of a right angle
PTS: 1
NAT: NCTM 9-12.REA.3 | NCTM 9-12.REA.4 | NCTM 9-12.GEO.1.c
KEY: angle | right | perpendicular | proof BLM: Analysis
NOT: 978-0-618-65613-4
3
ID: A
28. ANS:
Statements
Reasons
1. l ⊥ n, m ⊥ n
1. Given
2. l m
2. Lines Perpendicular to a Transversal Theorem
3. ∠1 and ∠3 are supplementary
3. Linear Pair Postulate
4. m∠1 + m∠3 = 180o
4. Defintion of supplementary
5. ∠1 ≅ ∠6
5. Alternate Exterior Angles Theorem
6. m∠1 = m∠6
6. Def. of congruent angles
7. m∠6 + m∠3 = 180o
7. Substitution
8. ∠6 and ∠3 are supplementary
8. Def. of suppl.
PTS: 1
NAT: NCTM 9-12.GEO.1.c | NCTM 9-12.REA.3 | NCTM 9-12.REA.4
KEY: perpendicular | supplementary | proof
BLM: Analysis
NOT: 978-0-618-65613-4
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