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Transcript
Unit 2 Review
NAME__________________________________DATE___________________PER.________
PAP geometry UNIT 2 Test Review
PART 1. ANGLE TERMINOLOGY
Match each definition to its corresponding term. Write the corresponding letter on the
blank provided.
_______1. angle
A. An angle with a measure between 0 and 90
_______2.supplementary angles
B. An angle with a measure of 90
_______3. right angle
C. A ray that divides an angle into two congruent angles
_______4. straight angle
D. An angle with a measure of 180
_______5. acute angle
E. An angle with a measure between 90 and 180
_______6. angle bisector
F. A figure formed by two rays that have the same
endpoint.
_______7. vertical angles
G. Angles that have a common vertex and side, but
share no interior points
_______8. obtuse angle
H. A pair of angles that add up to 180
_______9. adjacent angles
I. Two non-adjacent angles formed by two intersecting
lines.
PART 2. SPECIAL ANGLE PAIRS
Find the correct answer for each of the following problems. Write your answer on the
blank provided.
____________10.
_____________
Find value of x and identify the angle
pair.
(6x + 3)
(5x + 12)
____________11.
Ray RS bisects QRT. Find the value of ‘x’ if mQRT= 84
and mSRT= (10x + 2).
Q
S
T
R
____________12.
Find the value of ‘x’ if AB  CD and
Identify the angle pair.
A
____________
(10x + 3)
(6x + 7)
C
____________13.
B D
If mFGE = 103 and mFGH = 162, find the mEGH.
E
F
H
G
______________14.
_________________
Find the value of x for the angle pair shown
and identify the angle pair.
(7x-13)
___________15.
(5x+1)
Find m2 if ray ST bisects RSU and m1 = (18x) and
m2 = (8x + 10).
R
S
2
T
1
U
16. Given the window shown, 2 and 3 are
complementary. What statement can you make
about 1 and 4?
17. Fill in the blank proof:
Given: ∠1 is complementary to ∠2
Prove: SX ⊥WX
Statements
1. ∠1 is comp. to ∠2
2.
3. m∠1+m∠2= m∠SXW
4.
5. SX ⊥WX
Reasons
1.
2. Definition of complimentary angles
3.
4. Substitution
5.
18 . Find the distance and midpoint between (-3,7) and (3,-1)
__
19. M is the midpoint of AB. If AM = 2x + 6 and MB = 14, find x and AB.
Hint: Draw a diagram 
Unit 2 Review
NAME__________________________________DATE___________________PER.________
PAP geometry UNIT 2 Test Review
PART 1. ANGLE TERMINOLOGY
Match each definition to its corresponding term. Write the corresponding letter on the
blank provided.
____F___1. angle
A. An angle with a measure between 0 and 90
___H____2.supplementary angles B. An angle with a measure of 90
____B___3. right angle
C. A ray that divides an angle into two congruent angles
____D___4. straight angle
D. An angle with a measure of 180
____A___5. acute angle
E. An angle with a measure between 90 and 180
___C____6. angle bisector
F. A figure formed by two rays that have the same
endpoint.
___I____7. vertical angles
G. Angles that have a common vertex and side, but
share no interior points
____E___8. obtuse angle
H. A pair of angles that add up to 180
___G____9. adjacent angles
I. Two non-adjacent angles formed by two intersecting
lines.
PART 2. SPECIAL ANGLE PAIRS
Find the correct answer for each of the following problems. Write your answer on the
blank provided.
____x = 9__ 10.
_Vertical Angles__
Find value of x and identify the angle
pair.
(6x + 3)
(5x + 12)
___x = 4_____ 11.
Ray RS bisects QRT. Find the value of ‘x’ if mQRT= 84
and mSRT= (10x + 2).
Q
S
T
R
_____x = 5__ 12.
Find the value of ‘x’ if AB  CD and
Identify the angle pair.
A
Complementary
(10x + 3)
(6x + 7)
C
mEGH = 59 13.
B D
If mFGE = 103 and mFGH = 162, find the mEGH.
E
F
H
G
____ x = 16__
__
14.
Linear Pair_____
Find the value of x for the angle pair shown
and identify the angle pair.
(7x-13)
___ x = 1___
15.
(5x+1)
Find m2 if ray ST bisects RSU and m1 = (18x) and
m2 = (8x + 10).
R
S
2
T
1
U
16. Given the window shown, 2 and 3 are complementary. What statement
can you make about 1 and 4?
1 and 4 are also complementary.
17. Fill in the blank proof:
Given: ∠1 is comp. to ∠2
Prove: SX ⊥WX
Statements
1.
2.
3.
4.
5.
∠1 is comp. to ∠2
m∠1+m∠2 = 90
m∠1+m∠2= m∠SXW
m∠SXW = 90
SX ⊥WX
Reasons
1.
2.
3.
4.
5.
Given
Definition of complimentary angles
Angle Addition Postulate
Substitution
Given
18. Distance = 100 units; Midpoint = (0,3)
19. x = 6; AB = 28