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Determine Triangles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

2.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

3.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

4.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

5.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

6.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why ΔZWUΔXWV\Delta ZWU\cong\Delta XWV . If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

7.

Why is ACAC\overline{AC}\cong\overline{AC}  in the figure above?

a)

Vertical Angle Theorem

b)

Segment Addition Postulate

c)

Reflexive Property of Congruence

d)

Perpendicular segment Theorem 

8.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

9.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

10.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

11.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

12.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

13.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

14.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

15.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

16.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

17.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

18.

Using the congruence shown on the triangles and congruences that you can deduce. Which reason best explains why the triangles shown are congruent. If there isn't enough information to show triangles congruent pick that option.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information to show triangles congruent.

19.

Why is \overline{BC}\ \cong\overline{BC} ?

a)

Vertical Segment Theorem

b)

Communitive Property of Congruence

c)

Reflexive Property of Congruence.

d)

Associative Property of Congruence.

20.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar