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Geometry Quarter #2 Final 2019

Total questions: 50

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
a)
b)
c)
d)
2.
a)

34

b)

38

c)

52

d)

66

3.
a)
b)
c)
d)
4.
a)

8

b)

9

c)

10

d)

11

5.

A crosswalk crosses two sidewalks along the street below. If the sidewalks are parallel, what is the value of x?

a)

66

b)

114

c)

126

d)

156

6.
a)

3

b)

4

c)

5

d)

6

7.
a)
b)
c)
d)
8.
a)
b)
c)
d)
9.
a)
b)
c)
d)
10.

Which of the following is a justification for statement 2?

a)

Vertical

b)

Alternate Interior Angles

c)

Corresponding Angles

d)

Consecutive Interior Angles

11.

Which of the following is a justification for statement 4?

a)

Vertical Angles

b)

Alternate Interior Angles

c)

Corresponding Angles

d)

Consecutive Interior Angles

12.
a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

Angle-Angle-Side

13.
a)

14

b)

18

c)

20

d)

22

14.
a)
b)
c)
d)
15.

Based on the given information, which diagram contains a pair of similar triangles?

a)
b)
c)
d)
16.

Given the side measures, which of the following could form a right triangle?

a)
b)
c)
d)
17.

Identify all the correct statement.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠D=64°

e)

∠D=116°

18.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

e)

Consecutive Exterior Angles

19.

What is the distance of segment GH:

a)
b)
c)
d)
e)
20.

Which of the follow is not a true statement?

a)

Line j intersects plane M only at point E

b)

Plane AED intersects line k at point E

c)

Line j is on plane M

d)

Line k is not co-planer with plane M

e)

Points B, E, and C are colinear

21.

What is the value of the larger acute angle in the picture?

a)

55

b)

90

c)

15

d)

10

e)

75

22.

Triangle ABC has been rotated 180 degrees to form triangle EDC. If ∠E is 45o and ∠B is 55o what is the measure of ∠ACB?

a)

45o

b)

55o

c)

80o

d)

100o

e)

Not enough information

23.

Triangle ABC has been reflected to form DFE. If ∠C is 40o find the measure of ∠F.

a)

40o

b)

50o

c)

90o

d)

45o

e)

140o

24.

Triangle MNP is the image of triangle JKL after a 120° counterclockwise rotation about point Q. If the measure of angle L is 47° and the measure of angle N is 57°, determine the measure of angle M.

a)

120o

b)

47o

c)

57o

d)

76o

e)

Not enough information

25.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

e)

SSA

26.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

e)

GEO

27.

How are these triangles congruent?

a)

AAA

b)

SAS

c)

ASA

d)

HL

e)

Not enough information

28.

Find x.

a)

x = 118

b)

x = 31

c)

x = 23

d)

x = 62

e)

Not enough information

29.

The triangles are congruent. Which of the following statements must be true?

a)

∠A ≅ ∠D

b)

∠B ≅ ∠E

c)

AB ≅ DE

d)

BC ≅ FD

e)

∠C ≅ ∠F

30.

∆EHG≅∆KFC

Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

e)

∠G≅∠F

31.

What is the length of EF?

a)

8

b)

9

c)

16

d)

17

e)

18

32.

Choose all the sets of triangles are congruent

a)
b)
c)
d)
e)
33.

How are these two triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

SSA

e)

HL

34.

in triangle ABC, Johnny know that AB=BC. The triangle is not equalateral. Johnny states that triangle ABC is isosceles. Therefore, she consludes that angle A and angle B must be congruent to one another.

Is Johnny's conclusion correct? Why or why not?

a)

Johnny's conclusion is correct. In an isosceles triangle, the base angles are always the first two letters in the name of the triangle.

b)

Johnny's conclusion is correct. In an isoceles triangle, all 3 angles are congruent to one another. Therefore angle A and angle B must be congruent to one another.

c)

Johnny's conclusion was incorrect. She cannot state that triangle ABC is isosceles just because AB=BC

d)

Johnny's conclusion was incorrect. If AB=BC, then the base angles of the isosceles triangle would be angle A and angle C, not angle A and angle B

e)

None of these will allow Javier to prove congruence.

35.

What is the measure of angle b?

a)

36o

b)

56o

c)

63o

d)

81o

e)

117o

36.

A straightedge and compass were used to creat the construction above. Arc EF was drawn from Point B, and arcs with equal radii were drawn from E and F. Choose all of the following that must be true.

a)
b)
c)
d)
37.

Based on the construction above which of the following are always true, choose all that apply.

a)
b)

AB=CD

c)

AE=EB

d)

CE=ED

e)

AC=BC

38.

If you are going to create an inscribed square which of the following must be part of your construction?

a)

angle bisector

b)

perpendicular bisector

c)

using the length of the radius to create a flower (6 equal arcs)

d)

coping a segment

e)

creating a parallel line through a given point

39.

Which pair of triangles are similar?

a)
b)
c)
d)
e)

None of the sets of triangles are congruent

40.

Which of the following theorems could be used to prove two triangles similar? (Check all that apply)

a)

SS

b)

AA

c)

SAS Proportional Sides

d)

SSS

e)

SSS Proportional Sides

41.

Given the figure above what is the length of AH?

a)

17

b)

20.7

c)

22

d)

23.4

e)

40.4

42.

Which of the following is true about the two triangles in the picture

a)

The two triangles are congruent by ASA

b)

The two triangles are congruent by AAS

c)

The two triangles are similar by AA

d)

The two triangles are similar by SAS propotionality

e)

The triangle are not congruent or similar

43.

Given to the two figure to the left which of the following are true, select all that apply.

a)

The two figures are similar

b)

All the corresponding angles are congruent

c)

All the corresponding sides are proportional by a scale factor of 2:1

d)

The measure of MN= 2.5 cms

e)

Twice the measure of angle R is the value of angle N

44.

What is true about the three triangles to the left?

a)

The triangles can be proven congruent because all the angles are the same. (AA)

b)

The triangles can be proven similar because all the angles are the same. (AA)

c)

The triangles can be proven congruent because all the sides are the same. (SSS)

d)

The triangles can be proven similar because all the sides are proportional (SSS)

e)

JH= 10cm

45.
a)

(7,8)

b)

(7,4)

c)

(-1,-5)

d)

(-1, 3)

e)

(-1,7)

46.

Find x

a)

60

b)

48

c)

30

d)

28

e)

32

47.

What is the length of segment NA?

a)

2√26

b)

√102

c)

104

d)

2√13

e)

13

48.

Mark all the lines that must be parallel based on the given angles.

a)

Line p

b)

Line q

c)

Line r

d)

Line s

e)

Not enough information to prove any of the lines parallel

49.

If line c is parallel to line d, choose all statement must be true?

a)

Angle 1 is congruent to angle 16

b)

Angle 7 is congruent to angle 10

c)

Angle 14 and angle 15 are supplementary

d)

Angle 6 and angle 10 are supplementary

e)

Angle 3 and angle 16 are congruent

50.

Find the distance between J and K to the nearest tenth.

a)

8.2

b)

7.7

c)

9

d)

10.2

e)

68.0

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