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#8.3 Proving Triangle Similarity by SSS and SAS

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Determine whether the triangles are similar.

a)

Yes, they are similar.

b)

No, they are not similar.

c)

Cannot be determined.

2.

Determine whether the triangles are similar.

a)

Yes, they are similar.

b)

No, they are not similar.

c)

Cannot be determined.

3.

Find the value of x that makes ΔPQR∼ΔJKL\Delta PQR\sim\Delta JKL  

a)

4

b)

9

c)

2

d)

10

4.

Find the value of x that makes ΔPQR∼ΔJKL\Delta PQR\sim\Delta JKL

a)

6

b)

9

c)

13.5

d)

14

5.

a)

57\frac{5}{7}

b)

49\frac{4}{9}

c)

37\frac{3}{7}

d)

29\frac{2}{9}

6.

Are the two triangles similar?

a)

Yes, by SSS

b)

Yes, by SAS

c)

No

d)

Cannot be determined

7.

Write a similarity statement for the two triangles.

a)

 ΔACE∼ΔBCD\Delta ACE\sim\Delta BCD  

b)

 ΔAEC∼ΔBCD\Delta AEC\sim\Delta BCD  

c)

 ΔBDC∼ΔEAC\Delta BDC\sim\Delta EAC  

d)

Cannot be determined

8.

Are the triangles similar?

a)

Yes, by SSS

b)

Yes, by SAS

c)

No, they are not similar

d)

Cannot be determined.

9.

Write a similarity statement for the triangles.

a)

ΔEFG∼ΔMLN\Delta EFG\sim\Delta MLN

b)

ΔEFG∼ΔMNL\Delta EFG\sim\Delta MNL

c)

ΔFGE∼ΔNML\Delta FGE\sim\Delta NML

d)

The triangles are not similar.

10.

Which of the following is NOT a similarity theorem?

a)

SSS Similarity

b)

SAS Similarity

c)

AAS Similarity

d)

AA Similarity