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Chapter 6 Review Geo

Total questions: 64

Worksheet time: 8hrs 10mins

Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
2.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
3.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
4.
Find missing side
a)
5
b)
7
c)
9
d)
11
5.
Find missing side
a)
5
b)
7
c)
9
d)
11
6.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
7.
Find side length X.
a)
30
b)
25
c)
15
d)
40
8.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
9.
Find the missing side length.
a)
32
b)
35
c)
20
d)
16
10.
Find the missing side length.
a)
2
b)
4
c)
3
d)
6
11.
Find the missing side length. 
a)
9
b)
8
c)
6
d)
12
12.
Find the missing side length. 
a)
16
b)
12
c)
35
d)
15
13.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
14.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
15.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

16.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
17.
Sides in similar figures must be proportional.  
a)
True
b)
False 
18.

Corresponding angles in similar figures are congruent.

a)

True

b)

False

19.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
20.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
21.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
22.
Find the missing measure. 
a)
12
b)
14
c)
196
d)
168
23.
Solve for x.
a)
100
b)
143
c)
4
d)
95
24.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
25.
Are these triangles similar?
a)
Yes
b)
No
26.
Find y.
a)
144
b)
18
c)
72
d)
12
27.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
28.

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

a)

AA

b)

SSS

c)

SAS

d)

Not similar

29.

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

a)

SAS

b)

AA

c)

SSS

d)

not similar

30.

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

a)

AA

b)

SSS

c)

SAS

d)

no similar

31.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

32.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

33.

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

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

34.

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

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

35.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
36.
Are the triangles similar?
a)
Yes
b)
No
37.
Find missing side
a)
5
b)
7
c)
9
d)
11
38.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
39.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
40.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
41.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
42.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
43.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AAAA\sim

b)

SASSAS\sim

c)

SSSSSS\sim

d)

Not Similar

44.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AAAA\sim

b)

SASSAS\sim

c)

SSSSSS\sim

d)

Not Similar

45.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AAAA\sim

b)

SASSAS\sim

c)

SSSSSS\sim

d)

Not Similar

46.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

AAAA\sim

b)

SASSAS\sim

c)

SSSSSS\sim

d)

Not Similar

47.

I am allowed to use SSS or SAS without checking the ratios/proportions of the sides.

a)

True

b)

False

48.
Find the missing length.
a)
4
b)
10
c)
8
d)
12
49.
Find the missing length.
a)
35
b)
28
c)
42
d)
13
50.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
51.
Find the missing length.
a)
6
b)
8
c)
5
d)
None of these
52.
Solve for x.
a)
8
b)
6
c)
5
d)
-8
53.
Find the value of x.
a)

4

b)
12
c)
8
d)
16
54.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
55.
All corresponding angles in similar figures are congruent.  
a)
True
b)
False
56.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
57.

Solve for x.

a)

9

b)

8

c)

5

d)

7

58.

Find the missing length indicated.

a)

8

b)

9

c)

25

d)

12

59.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
60.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
61.

Solve for x.

62.

Solve for x.

a)

7

b)

4

c)

10

d)

8

63.

In the diagram below of ABC, CDA, CEB,

DE is parallel to AB, DE = 4, AB = 10, CD = x, and

DA = x + 3. What is the value of x?

a)

0.5

b)

2

c)

5.5

d)

6

64.
Solve for f.
a)
6
b)
4
c)
3
d)
8