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Worksheets

Enlargement and Triangles

Total questions: 41

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
Identify the hypotenuse.
a)
x
b)
z
c)
w
2.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
3.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
4.
Find x.
a)
35
b)
20
c)
8
d)
12
5.
Does an 8, 15, 16 triangle have a Right Angle?
a)
Yes
b)
no
6.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
7.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
8.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

9.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
10.
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
11.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
12.

Find the scale factor of the enlargement from B to F

a)

1/2

b)

3

c)

2

d)

1/4

13.

A ratio of 3:1 means 3cm becomes...

a)

3cm

b)

1cm

c)

9cm

d)

12cm

14.

What kind of Dilation will take place when given the Scale Factor of 8/3?

a)

Enlargement

b)

Reduction

15.

Describe the transformation that takes the blue shape to the pink shape...

a)

Enlargement

Scale Factor: 2

Centre: (0,0)

b)

Enlargement

Scale Factor: 1/2

Centre: (0,0)

c)

Enlargement

Scale Factor: -2

Centre: (0,0)

d)

Enlargement

Scale Factor: -2

Centre: (2,0)

16.

Describe the transformation that takes the blue shape to the yellow shape...

a)

Enlargement

Scale Factor: 3

Centre: (0,0)

b)

Enlargement

Scale Factor: 1/3

Centre: (0,0)

c)

Enlargement

Scale Factor: -3

Centre: (0,0)

d)

Enlargement

Scale Factor: 1/3

Centre: (3,0)

17.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
18.
a)

A

b)

B

c)

C

d)

D

19.
a)

A

b)

B

c)

C

d)

D

20.
If the original lengths are multiplied by 2, what are the new coordinates?
a)
(0, 0), (12, 18), (12, 0)
b)
(0, 0), (18, 12), (12, 0)
c)
(0, 0), (12, 18), (0, 12)
d)
(0, 0), (18, 12), (0, 12)
21.
Line AB corresponds with what line? 
a)
XZ
b)
XY
c)
YZ
d)
YX
22.

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement

a)

2 and (1,2)

b)

-2 and (-1,-2)

c)

0.5 and (1,2)

23.

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

a)

1 and (2,3)

b)

-1 and (2,3)

c)

-1 and (3,2)

24.

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

a)

-3 and (0,1)

b)

3 and (0,1)

c)

3 and (1,0)

d)

-3 and (1,0)

25.

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

a)

3 and (-3,4)

b)

-3 and (3,-4)

c)

1/3 and (-3,4)

d)

-1/3 and (4,-3)

26.

Find coordinates of the dilation center

(a)  

27.

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

a)

0.5 and (-1,1)

b)

2 and (1,-1)

c)

-0.5 and (-1,1)

d)

-2 and (-1,1)

28.

Which is the dilation scale factor?

(a)  

29.

Find coordinates of the dilation center

(a)  

30.
Are the triangles similar?
a)
Yes
b)
No
31.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
32.
What similarity theorem would you use to prove these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
BUCK∼
33.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
34.
Find side length X.
a)
30
b)
25
c)
15
d)
40
35.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
36.
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
37.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
38.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
39.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
40.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
41.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3

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