Free Printable Triangle Similarity

1.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

2.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

3.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

4.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

5.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

6.

Determine if the triangles are similar. If so, find missing variables using properties of similarity.

a)

Similar, k = 11.5

b)

Similar, k = 2.5

c)

Similar, k = 8

d)

Not Similar

7.

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

8.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

9.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

10.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

11.

Find the value of x.

a)

6.92

b)

18.67

c)

2.625

d)

13.71

12.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

13.

Use the information in the diagram to determine the height of the tree. Remember: lines with the same marks are congruent to each other.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

14.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔABC ~ ΔPRQ

b)

ΔABC ~ ΔPQR

c)

ΔCBA ~ ΔPRQ

d)

ΔACB ~ ΔQRP

15.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

16.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

17.

Find the missing side length.

a)

22.5

b)

10

c)

9

d)

7.5

18.

Solve the proportion.

a)

9

b)

3.6

c)

7.8

d)

1.1

19.

$6x^2-19x=-8x^2-6$

a)

$\left\{\frac{6}{7},\frac{1}{2}\right\}$

b)

$\left\{7,12\right\}$

c)

$\left\{-7,-12\right\}$

d)

$\left\{-\frac{1}{2},-\frac{6}{7}\right\}$

20.

Complete the similarity statement: △ACB ~ _______ ~ _______

a)

△ACD, △ABD

b)

△DCA, △BDA

c)

△ACD, △BDA

d)

△DCA, △DAB

21.

Find the value of x.

a)

15

b)

20

c)

48

d)

80

22.

Find the value of x.

a)

12

b)

60

c)

64

d)

80

23.

Find the value of x.

a)

25

b)

65

c)

135

d)

225

24.

Find the value of x.

a)

9

b)

108

c)

144

d)

225

25.

x²-7x=0

a)

x= 0, -7

b)

x= 0, 7

26.

$2d^2+4=5d$

a)

$\frac{5\pm i\sqrt{7}}{4}$

b)

$\frac{-5\pm\sqrt{7}}{4}$

c)

$\frac{5\pm i\sqrt{57}}{4}$

d)

$\frac{-5\pm\sqrt{57}}{2}$

Triangle Similarity

Total questions: 26

Worksheet time: 29mins

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