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Geometry topic 2&3 Review

Total questions: 53

Worksheet time: 1hrs 26mins

Name
Class
Date
1.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
2.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
3.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
4.
∠XOZ is bisected by ray OY. Which statement is true?
a)
∠XOZ ≅ ∠XOY
b)
∠XOZ ≅ ∠ZOY
c)
∠XOY ≅ ∠ZOY
d)
∠OXY ≅ ∠OZY
5.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
6.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
7.
If m∠XOZ = 74°, find m∠XOY.
a)
37°
b)
74°
c)
90°
d)
148°
8.

Identify the relationship:

a)

vertical

b)

supplementary

9.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

10.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

11.

Identify the angle relationship between a and b.

a)

alternate interior

b)

corresponding

c)

alternate exterior

12.

Identify the angle pairs below that represent a vertical relationship. Select 2.

a)

∠1

b)

∠8

c)

∠6

d)

∠5

13.

Identify the angles below that represent a supplementary relationship. Select 2.

a)

∠1

b)

∠3

c)

∠8

d)

∠5

14.

Identify the angles below that represent a corresponding relationship. Select 2.

a)

∠1

b)

∠3

c)

∠8

d)

∠5

15.

Identify the angles below that represent a alternate interior relationship. Select 2.

a)

∠1

b)

∠2

c)

∠7

d)

∠8

16.

Identify the angles below that represent a alternate exterior relationship. Select 2.

a)

∠1

b)

∠2

c)

∠7

d)

∠8

17.

Identify all the congruent angles to ∠1.

a)

∠6

b)

∠3

c)

∠7

d)

∠8

18.

Find the measure of angle b.

Hint: Identify the angle relationship.

a)

95

b)

85

c)

5

19.

Slopes of parallel lines are...

a)

opposite reciprocals

b)

the same

c)

opposites

d)

always 7

20.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

the same

c)

opposite

d)

always 7

21.

 y=27x+4y=\frac{-2}{7}x+4  and  y=72x3y=\frac{7}{2}x-3  are parallel lines

a)

True

b)

False

22.

If I am looking for a line parallel to y=3x2y=-3x-2  which one of these equations could it be?

a)

 y=2x1y=-2x-1  

b)

 y=3x4y=3x-4  

c)

 y=3x+6y=-3x+6  

d)

 y=2x3y=-2x-3  

23.

 y=3x+2y=3x+2  and  y=3x3y=3x-3  
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

24.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
25.
Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3
a)
y = 12
b)
y = 6
c)
x = 12
d)
x = 6
26.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
27.
Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9
a)
y = -2x - 24
b)
y = -2x + 12
c)
y = -2x  + 24
d)
y = (1/2)x - 12
28.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

29.

Given: OR \perp QP.  What should you conclude by definition of perpendicular?

a)

<ORP is a right angle

b)

QR + RP = QP

c)

<ORQ and <ORP are complementary

d)

<QRP = 180 °\degree  

30.

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

a)

<1 and <2 are a linear pair

b)

<1 and <3 are right angles

c)

<2 and <4 are vertical angles

d)

 <1<3<1\cong<3  

31.

Given: <1 and <2 are supplementary. What can you conclude?

a)

m<1 + m<2 = 180

b)

m<1 + m<2 = 90

c)

m<1 = m<2

d)

nothing

32.

When trying to prove two angles are supplementary, what must you show in your proof?

a)

that the angles are equal

b)

that the angles add up to 180 degrees

c)

that the angles are a linear pair

d)

that the angles are right angles

33.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
34.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
35.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
36.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
c)
ASA
≅ Thrm
d)
SAS
≅ Thrm
37.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
38.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
39.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
40.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
41.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
42.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
Yes, by HL
43.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
44.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, they are not congruent
45.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, they are not congruent
46.
Are these triangles congruent?
a)
Yes, by SAS
b)
Yes, by SSS
c)
No they are not congruent
d)
Not enough information to know for sure
47.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
No they are not congruent
d)
Not enough information to know for sure
48.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by ASA
c)
No they are not congruent
d)
Not enough information to know for sure
49.

What is the length of BC?

a)

6

b)

31

c)

29

d)

11

50.

What is the value of x?

a)

16

b)

17

c)

51

d)

78

51.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

52.

What is the measure of ∠T?

a)

4

b)

52

c)

76

d)

25

53.

What is the length of side JK?

a)

12

b)

30

c)

33

d)

3