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Math 8 Module 3 Cumulative Review Quizizz

Total questions: 56

Worksheet time: 3hrs 6mins

Name
Class
Date
1.

If the scale factor is less than one, but greater than 0, the new figure will be:

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

a triangle

2.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
3.

If an image was created by dilating the pre-image by  27\frac{2}{7} , what could we dilated the image by to map it onto the pre-image?

a)

2/7

b)

2

c)

7/2

d)

7

4.

Triangle A'B'C' is 4 times the size of triangle ABC. If we wanted to dilate triangle A'B'C' so that it maps onto triangle ABC, what scale factor should we use?

a)

4

b)

1/4

c)

16

d)

1/2

5.
How are the side lengths in two similar figures related?
a)
Exactly the same
b)
Multiplied by a factor of k
c)
Multiplied by a factor of k2
d)
Multiplied by a factor of k3
6.
How are the angle measures in two similar figures related?
a)
Exactly the same
b)
Multiplied by a factor of k
c)
Multiplied by a factor of k2
d)
Multiplied by a factor of k3
7.

If this triangle was drawn using the Fundamental Theorem of Similarity, what would we know about segment DE and segment AB?

a)

They are parallel

b)

They are the same length

c)

They are congruent

d)

They are perpendicular

8.
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)
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)
9.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
11.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
11.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
12.
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)
13.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
14.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
15.

If we dilate point C by a factor of 3 with P as the center of dilation, how far away would point C be from point P?

a)

Not enough information

b)

3

c)

5

d)

15

16.

What do we know about the distance from O to B and the distance from B to B'?

a)

They are congruent

b)

They are proportional

c)

They are each 1.25 inches long

d)

They are parallel

17.
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
18.

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

19.

To get from shape A'B'C' to shape ABC we would have to dilate by scale factor of __________ then reflect over a ______________ line

a)

1/2, vertical

b)

2, vertical

c)

2, horizontal

d)

1/2, horizontal

20.

What sequence of transformations will get you from shape I to shape II?

a)

Dilation, 180 degree rotation

b)

Dilation, 90 degree rotation counterclockwise

c)

Translation, 180 rotation

d)

Translation, 90 degree rotation clockwise

21.

If triangle LMN is similar to triangle OPQ and triangle OPQ is similar to triangle XYZ, what relation can we use to say triangle LMN is similar to triangle XYZ?

a)

Transitive

b)

Symmetrical

c)

Congruent

d)

Proportional

22.

If triangle LMN is similar to triangle OPQ and triangle OPQ is similar to triangle LMN, what relation can we say similarity has?

a)

Transitive

b)

Symmetrical

c)

Congruent

d)

Proportional

23.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
24.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
25.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

26.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

27.

How many sets of corresponding angles must we show are congruent in order to prove that two triangles are similar?

a)

1

b)

2

c)

3

d)

All 3, and also we need to know all of the corresponding sides are proportional.

28.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
29.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
30.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
31.
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
32.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
33.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
34.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

35.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
36.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
37.

Are the following similar? Why or why not?

a)

Yes, they have a set of congruent corresponding sides.

b)

No, because 6 + 4 = 10, but 2 + 6 = 8.

c)

No, the ratios of the corresponding sides are not equal.

d)

Yes, they are both trapezoids.

38.

Are the following similar? Why or why not?

a)

Yes, the corresponding angles are proportional and the corresponding sides are proportional.

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

d)

Yes, the corresponding angles are congruent and the corresponding sides are proportional.

39.
a)
ABC and DEF
b)
ABC and GHI
c)
DEF and GHI
d)
None
40.
a)
JKL and MNO
b)
JKL and PQR
c)
MNO and PQR
d)
None
41.
What is the scale factor from the smaller quadrilateral to the larger?
a)
scale factor = 4
b)
scale factor = 10
c)
scale factor = 3
d)
scale factor = 2
42.
What is the scale factor from the large triangle to the small triangle?
a)
1/2
b)
2/3
c)
3/4
d)
2
43.
What is the scale factor?
a)
1/2
b)
7/3
c)
2
d)
10/3
44.

What is the scale factor from Figure 1 to Figure 2?

a)

2

b)

1/2

c)

6

d)

3

45.
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
46.
Click to see image.
a)
A
b)
B
c)
C
d)
D
47.
Click to see question.
a)
100 ft.
b)
33.5 ft.
c)
536 ft.
d)
1206 ft.
48.
Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?
a)
3 ft
b)
7.5 ft
c)
1.2 ft.
d)
0.8 ft.
49.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
50.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
51.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
52.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
53.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?
a)
yes
b)
no
54.
Alan made a small four-sided table for his office.  The opposite sides of the table are 27 inches long and 36 inches long.  If the diagonal of the table measures 40 inches, does the table have right angles at the corners?  Why or why not?
a)
Yes, because it's a rectangle and rectangles have 90 degree angles in the corners
b)
Yes, because 27 and 36 are less than 40
c)
No, because 272+362 does not equal 402
d)
No, because 27+36 does not equal 40
55.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
56.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41