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Unit 4.2 Test Review

Total questions: 40

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
6.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
7.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
8.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
9.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
10.
What is the value of x?
a)
10
b)
No Solution
c)
5
d)
2
11.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
12.
Find the missing length.
a)
6
b)
8
c)
5
d)
None of these
13.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
14.

Solve for x.

a)

10

b)

5

c)

7

d)

4

15.
Solve for f.
a)
6
b)
4
c)
3
d)
8
16.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

17.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

18.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

19.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

20.

Determine if the triangles are similar. If so, state a postulate or theorem to justify your statement.

a)

Similar, AA Postulate

b)

Similar, SSS Postulate

c)

Similar, SAS Postulate

d)

Not Similar

21.

Determine if the triangles are similar. If so, find missing variables using properties of similarity.

a)

Similar, w = 28

b)

Similar, w = 26

c)

Similar, w = 43

d)

Not Similar

22.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
23.

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

a)
b)
c)
d)
24.
The hypotenuse of a triangle is...
a)
Invisible
b)
A myth
c)
The side opposite the right angle in a right triangle
25.
The sum of all three angles in a triangle is 180 degrees.
a)
True
b)
False
26.

In Similar figures the ________________ are the same.

a)

Angles

b)

Sides

c)

Diagonals

27.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔABC ~ ΔPRQ

b)

ΔABC ~ ΔPQR

c)

ΔCBA ~ ΔPRQ

d)

ΔACB ~ ΔQRP

28.

What ratio would I use for the side 5 and its corresponding side?

a)

15/5 = 3

b)

21/5

c)

18/5

d)

7/5

29.

Determine if the two figures are similar or not using common ratios.

a)

No, the ratios between corresponding sides are different.

b)

No, because the sides aren't equal.

c)

Yes, because all the ratios are 4 to 1

d)

Yes, because all the ratios are 8 to 1

30.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

31.
Fill in the blank.
Altitudes hit the ground at _______ degrees.
a)
180
b)
90
c)
60
d)
360
32.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
33.
Find the missing length indicated. Leave your answer in simplest radical form.
a)
48
b)
16
c)
80
d)
36
34.
a)
A
b)
B
c)
C
d)
D
35.
What is the value of x?
a)
16
b)
12
c)
4
d)
64
36.

a)

Altitude

b)

Angle Bisector

c)

Median

d)

Perpendicular Bisector

37.
What is the ratio of the side lengths?
a)
1.25
b)
1.5
c)
2
d)
2.5
38.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
39.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
40.

What is true about similar figures?

a)

Everything is congruent

b)

They have the same shape but different size