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Final Exam Review CP '22-23

Total questions: 37

Worksheet time: 2hrs 47mins

Name
Class
Date
1.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
2.

Find the m∠JKL.

a)

25°

b)

125°

c)

145°

d)

45°

3.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
4.

EJ→ \overrightarrow{EJ}\  bisects  ∠DEF\angle DEF ,  m∠DEJ=5x+7m\angle DEJ=5x+7  ,  m∠JEF=8x−8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

5.

Find x.

a)

28

b)

5

c)

55

d)

40

6.

Lines l and m are parallel, m ∠\angle 2=60 degrees, and m ∠\angle 5=(x+25). Find the value of x.

a)

x=120

b)

x=60

c)

x=45

d)

x=35

7.
Solve for x.
a)
16
b)
11
c)
50
d)
6
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
10.

Are the triangles congruent? If so, by what postulate or theorem?

a)

yes, SSA

b)

yes, HL

c)

yes, SAS

d)

not congruent

11.
Find x
a)
90
b)
45
c)
22
d)
35
12.

If the given side lengths of a triangle are 16 and 10 what can be the third side?

a)

26

b)

5

c)

27

d)

21

13.

Order the sides from greatest to least

a)

a , b , c

b)

b , c , a

c)

c , b , a

d)

a , c , b

14.

The figure is an example of a(n) ...

a)

angle bisector

b)

dotted line theorem

c)

altitude

d)

median

15.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
16.
What is x?
a)
35
b)
45
c)
55
d)
90
17.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not similar

18.

ABCD ~ EFGH

Find EH.

a)

12

b)

18

c)

15

d)

8

19.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
20.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
21.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

22.

Find x. Round to the nearest 10th.

a)

8.4

b)

11.1

c)

10.5

d)

17.5

23.

The figure is a parallelogram.  
Solve for x.  

a)

2

b)

10

c)

11

d)

12

24.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
25.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

26.

If A = (-3,9), find D3(A)

a)

A' = (-1,3)

b)

A' = (-9,27)

c)

A' = (3,-9)

27.

Using the rotation rule r(90,O) (x,y) = (-y,x) find the coordinates of r(90,O) B if B = (-4,7)

a)

B ' = (-7,-4)

b)

B ' = (-7,4)

c)

B ' = (4,7)

28.

Using the distance formula (x2−x1)2+(y2−y1)2\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} to find the distance between A = (-1,3) and B = (6,8). Round to the nearest 10th.

a)

7.1

b)

8.6

c)

4.5

29.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
30.

AB‾\overline{AB}  is tangent to the circle. Find the value of x.

a)

35

b)

55

c)

90

d)

125

31.

(x−4)2+(y−5)2=36\left(x-4\right)^2+\left(y-5\right)^2=36  

Identify the center and radius of the circle.

a)

center (4,5) radius 6

b)

center (4,5) radius 36

c)

center (-4,-5) radius 6

d)

center (-4,-5) radius 36

32.

What is the measure of arc RPS?

a)

120°

b)

60°

c)

300°

33.

Find the circumference of the circle with a radius of 3 cm. Leave your answer in terms of π

a)

9π cm2

b)

3π cm2

c)

6π cm2

34.
What is m∠ACB?
a)

67.5°

b)

90°

c)

22.5°

d)

45°

35.

For what value of x will the quadrilateral be a parallelogram?

a)

120⁰

b)

60⁰

c)

90⁰

36.

Write a congruent statement for the triangles.

a)

ΔABC≅ΔEDC\Delta ABC\cong\Delta EDC

b)

ΔABC≅ΔDEC\Delta ABC\cong\Delta DEC

c)

ΔBAC≅ΔDEC\Delta BAC\cong\Delta DEC

37.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem