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Dilations, Similar and Congruent Figures

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

Which side length corresponds with EF?

a)

NO

b)

LM

c)

OL

d)

EH

2.

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

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

3.

Which of the following algebraic expression would create an enlargement?

a)

(x,y) -----> (x+3,y+3)

b)

(x,y) -----> (-2x,-2y)

c)

(x,y) -----> (0.75x,0.75y)

d)

(x,y) -----> (2.3x,2.3y)

4.

What is the only operation ever used with dilation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

5.

What is Dilation?

a)

Dilation means to enlarge or reduce a shape

b)

Dilation means to flip over a line

c)

Dilation means two figures that look alike

d)

Dilation means to make a shape smaller

6.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-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 C'?

a)

(1,-2)

b)

(-6,-15)

c)

(-2/3,-5/3)

d)

(-5,-8)

7.

State the coordinate of the image of point B (-10,-6) after a dilation with a scale factor of 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

8.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
9.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
10.
A scale factor of 1/2 reduces a figure.
a)
True
b)
False
11.
A dilation creates a similar figure.
a)
True
b)
False
12.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
13.
 A dilation can produce a larger figure also known as a ______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
14.
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
15.
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.
16.

Congruent shapes have the same...

a)

Size

b)

Color

c)

Shape

d)

Rotation

17.
Find the ratio (red to blue) of the perimeter.
a)

11 : 6

b)

6 : 11

c)

121 : 36

d)
36/121
18.
Find the ratio (red to blue) of the area.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
19.
Find the ratio (red to blue) of the perimeter.
a)
9/14
b)
14/9
c)
196/81
d)
81/196
20.
Find the ratio (blue to red) of the area.
a)
4/7
b)
7/4
c)
49/16
d)
16/49