WorksheetsIM2 Unit 6 Quiz #2 Review
Total questions: 59
Worksheet time: 15hrs 45mins
Name
Class
Date
1.
A dilation produces a similar figure
a)
True
b)
False
2.
A dilation produces a congruent figure
a)
True
b)
False
3.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
4.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
5.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
6.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
7.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
8.
Does the image show a dilation?
a)
Yes
b)
No
9.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
10.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
11.
Does the image show a Dilation?
a)
Yes
b)
No
12.
In a dilation what mathematical operation is used with the scale factor?
a)
addition
b)
subtraction
c)
multiplication
d)
division
13.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
14.
Tell whether the transformation is a dilation. Explain.
a)
No, scale factor isn't the same.
b)
Yes, scale factor is the same.
15.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
16.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
17.
Ms. Sullivan used similar triangles to make a design. Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
18.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
19.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
20.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
21.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.2 units
22.
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
23.
Triangle ABC is similar to triangle XYZ. What is the length of line segment BC?
a)
5 cm
b)
7.5 cm
c)
8 cm
d)
9 cm
24.
Triangle PQR is similar to triangle XYZ. What is the PERIMETER of triangle XYZ?
a)
21 cm
b)
63 cm
c)
105 cm
d)
126 cm
25.
Triangle HIJ is similar to triangle STR. What is the perimeter of triangle STR?
a)
32
b)
37
c)
40
d)
42
26.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
27.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
28.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
29.
Are the triangles similar?
a)
Yes
b)
No
30.
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
31.
Find missing side
a)
5
b)
7
c)
9
d)
11
32.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
33.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
34.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
35.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
36.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
37.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
38.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
39.
Solve for X
a)
7.5
b)
4.8
c)
13.33
d)
5
40.
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.
41.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
42.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
43.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
44.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
45.
The following triangles are similar.
∠B ≅
∠B ≅
a)
D
b)
A
c)
E
d)
F
46.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
47.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
48.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
49.
Determine if the ratios are proportional.
4/5 and 15/20
4/5 and 15/20
a)
Yes
b)
No
50.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
51.
What happens if you dilate a shape by a scale factor of 1?
a)
It gets bigger
b)
It gets smaller
c)
It remains the same
d)
It disappears
52.
When is Unit 6 Quiz #2?
a)
Friday 4/26
b)
Monday 4/29
c)
What quiz??
d)
Tuesday 4/30
53.
What is currently California's capital city?
a)
San Diego
b)
Los Angeles
c)
Sacramento
d)
Tierrasanta
54.
Find the value of x
a)
20
b)
4
c)
24
d)
36
55.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
56.
Find the missing length indicated.
a)
16
b)
8
c)
10
d)
14
57.
Solve for x.
a)
8
b)
6
c)
5
d)
-8
58.
Find the value of x.
a)
5
b)
8
c)
3
d)
None of these
59.
Find the value of x.
a)
6
b)
12
c)
8
d)
None of these
100 %
