WorksheetsCW: Unit 12 Review (Congruent/Similar Figures)
Total questions: 60
Worksheet time: 2hrs 13mins
Name
Class
Date
1.
What sequence of transformations will get you from shape 1 to shape 3 in two steps?
a)
Reflection, then Translation
b)
Translation, then Rotation
c)
Reflection, then Rotation
d)
Rotation, then Translation
2.
What sequence of transformations will get you from shape ABC to shape A'B'C' in two steps?
a)
Reflection, then Translation
b)
Rotation, then Dilation
c)
Reflection, then Rotation
d)
Dilation, then Reflection
3.
What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?
a)
Rotation, then Rotation
b)
Rotation, then Dilation
c)
Reflection, then Rotation
d)
Translation, then Reflection
4.
What sequence of transformations will get you from shape A to shape A' in two steps?
a)
Rotation, then Dilation
b)
Rotation, then Translation
c)
Reflection, then Dilation
d)
Translation, then Reflection
5.
What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?
a)
Rotation, then Dilation, then Reflection
b)
Translation, then Reflection, then Rotation
c)
Reflection, then
Dilation, then Rotation
Dilation, then Rotation
d)
Dilation, then Translation, then Reflection
6.
∠A = ≅
a)
∠M
b)
∠N
c)
∠L
7.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
8.
FD = ≅
a)
IK
b)
KJ
c)
JI
d)
EF
9.
a)
A
b)
C
c)
D
10.
a)
3 inches
b)
5 inches
c)
90 inches
d)
4 inches
11.
a)
4m
b)
5m
c)
3m
d)
4.5m
12.
All corresponding angles in congruent figures are congruent.
a)
True
b)
False
13.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
14.
The triangles are congruent. Which of the following statements must be true?
a)
∠A ≅ ∠D
b)
∠B ≅ ∠E
c)
AB ≅ DE
d)
BC ≅ FD
15.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
16.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
17.
Tell whether the figures are congruent or not congruent.
a)
Congruent
b)
Not Congruent
18.
Tell whether the figures are congruent or not congruent.
a)
Congruent
b)
Not Congruent
19.
The figures are congruent. Name one pair of corresponding angles.
a)
Q and W
b)
R and Z
c)
S and Z
d)
T and P
20.
Tell whether the two figures are congruent. Explain your reasoning.
a)
Yes, same size and shape
b)
No, not same size
c)
No, not same shape
21.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
22.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
23.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
24.
Remember order matters. Which of the following is true?
a)
∆JLK ≅ ∆XWJ
b)
∆LJK ≅ ∆JWX
c)
∆JKL ≅ ∆JXW
d)
∆LKJ ≅ ∆JXW
25.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
26.
Solve:
a)
2
b)
9
c)
35
d)
7
27.
Solve:
a)
4
b)
32
c)
2
d)
9
28.
Solve:
a)
1
b)
4
c)
10
d)
5
29.
Solve:
a)
3
b)
4
c)
-7
d)
15
30.
Solve:
a)
6
b)
7
c)
-8
d)
-5
31.
Solve:
a)
4
b)
6
c)
-2
d)
5
32.
Solve:
a)
-4
b)
10
c)
3
d)
-4
33.
Solve:
a)
-2
b)
4
c)
15
d)
9
34.
Solve:
a)
3
b)
12
c)
5
d)
3
35.
Solve:
a)
-9
b)
-28
c)
9
d)
4
36.
Solve:
a)
18
b)
3
c)
4
d)
6
37.
Solve:
a)
-8
b)
1
c)
-8
d)
36
38.
If I need 5 cups of flour to make 3 pies, how many pies can I make with 25 cups of flour?
a)
30
b)
15
c)
25
d)
5
39.
Gracie brought 24 cookies to give to her 3 classes. Tomorrow she has 4 classes, so how many cookies should she bring?
a)
24
b)
32
c)
8
d)
64
40.
Hank made 4 pizzas and used 8 lbs of cheese. How much cheese does he need for 1 pizza?
a)
1 lb
b)
2 lbs
c)
16 lbs
d)
4 lbs
41.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
42.
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.
43.
Tell whether the two figures are similar. Explain your reasoning.
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
44.
a)
A
b)
B
c)
C
d)
D
45.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
46.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
47.
What are similar figures?
a)
Shapes that have the same shape, but not necessarily the same size.
b)
Compares the sizes of the parts of the scale drawing to the actual sizes on the original object.
c)
They are sides that are in the same position in different plane figures.
d)
They are sides that have different ratios.
48.
Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.
a)
20
b)
25
c)
100
d)
40
49.
Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape. What is the scale factor or multiplier used to make the the smaller one larger?
a)
2
b)
½
c)
⅖
d)
5/2
50.
Find the missing side length.
a)
9
b)
6
c)
8
d)
7
51.
Find missing side
a)
5
b)
7
c)
9
d)
11
52.
Solve for X.
a)
36
b)
27
c)
45
d)
56
53.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
54.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
55.
Find the length of the missing side.
a)
7
b)
4
c)
6
d)
8
56.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
57.
What are the missing sides of the triangle?
a)
11 and 12
b)
13 and 11
c)
11 and 14
d)
13 and 12
58.
Are these figures similar?
a)
yes
b)
no
c)
i don't know
d)
not enough information
59.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
60.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
d)
8 feet
100 %
