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Unit 4 Mock Test

Total questions: 15

Worksheet time: 33mins

Name
Class
Date
1.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
2.

 ΔABC\Delta ABC  is an equilateral triangle. The  mA = 7x 10m\angle A\ =\ 7x\ -10 . Find the value of x. 

a)

10

b)

14.3

c)

17.1

d)

27.1

3.
Which pair of angles are alternate exterior angles?
a)
Angle 8 and Angle 1
b)
Angle 2 and Angle 6
c)
Angle 7 and Angle 4
d)
Angle 2 and Angle 8
4.

Find m∠B.

a)

150°

b)

67°

c)

54°

d)

57°

5.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
6.

Ryan and Tyler were arguing (again). Ryan and Tyler set up their own equations to solve for x. Who was right?

Ryan:  12x29+4x+1=18012x-29+4x+1=180  

Tyler:  12x29=4x+112x-29=4x+1  

a)

Ryan, because the angles are supplementary.

b)

Ryan, because the angles are congruent.

c)

Tyler, because the angles are supplementary.

d)

Tyler, because the angles are congruent.

7.

Triangle DOG is an isosceles triangle where  DO\cong OG . The measure of side DO is 3x - 5. The measure of OG is 19 - x and the measure of GD is 2x. Find the perimeter of triangle DOG. 

a)

6

b)

13

c)

26

d)

38

8.

What additional information is needed to prove these triangles are congruent by SAS?

a)


ACPRAC\cong PR

b)

AP\angle A\cong\angle P

c)

CR\angle C\cong\angle R

d)

BQ\angle B\cong\angle Q

9.

Find the measure of angle A.

a)

-10

b)

65

c)

115

d)

135

10.

What is the measure of the smallest angle?

a)

12

b)

25

c)

65

d)

90

11.

Given  ΔABC\Delta ABC  and  ΔDEF\Delta DEF  ,  ABDEAB\cong DE and  ACDFAC\cong DF . Which theorem can prove that  ΔABC ΔDEF\Delta ABC\ \cong\Delta DEF .


a)

SSS, because you are given three congruent sides.

b)

SAS, because you are given two sides and the included angles congruent.

c)

HL, because you are given congruent hypotenuses and corresponding legs congruent.

d)

The triangles are not congruent.

12.

What is the relationship between the two angles. Find the measure of the angle indicated in bold (bottom right angle).

a)

Corresponding; 100°

b)

Alternate Exterior; 60°

c)

Alternate Interior; 55°

d)

Consecutive Exterior; 60°

13.

Over which interval is the function below decreasing?
 f(x)=x+1+5f\left(x\right)=-\sqrt{x+1}+5  

a)

 x1x\le-1  

b)

 x5x\ge5  

c)

 x1x\ge1  

d)

 x1x\ge-1  

14.

Ryan and Tyler solved 2m² + 3m - 9. Ryan argued that (m - 3) was a factor and Tyler argued that m = 3/2 was a solution. Who was right?

a)

Ryan was right, (m - 3) is a factor.

b)

Tyler was right, m = 3/2 is a solution.

c)

Both Ryan and Tyler are right.

d)

Neither are right.

15.

Compare the function below to the graph pictured. Which has a lower minimum?

 f(x)=x2+6x+20f\left(x\right)=x^2+6x+20  

a)

Graph

b)

Equation