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Worksheets

Similar and Congruent

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.

Are the triangles similar?

a)

Yes, by AA∼

b)

Yes, by SAS∼

c)

Yes, by SSS∼

d)

Not Similar

2.

These triangles are...

a)

Similar by SAS∼

b)

Similar by ASA≅

c)

Congruent by HL≅

d)

Not Similar or Congruent

3.

These triangles are...

a)

Similar by AA∼

b)

Similar by SAS∼

c)

Congruent by SAS≅

d)

Not Similar

4.

What is the relationship between the triangles?

a)

Similar by AA∼

b)

Similar by SAS∼

c)

Similar by SSS∼

d)

Not Similar or Congruent

5.

If ΔCAE≅ΔBDE is true, then which of the following is false?

a)

∠CEA ≅ ∠BED

b)

∠AEC ≅ ∠EBD

c)

AC ≅ DB

d)

EB ≅ EC

6.

What is the relationship between these triangles?

a)

Congruent by HL≅

b)

Congruent by SAS≅

c)

Similar by SAS∼

d)

Congruent by AAS≅

7.

Identify ALL possibilities when comparing these triangles.

a)

Congruent AND Similar

b)

Congruent only

c)

Similar only

d)

Neither

8.

What information is missing to prove the triangles are congruent?

a)

MP ≅ MP

b)

∠MNP≅∠MQP

c)

NP≅QP

d)

No information can
be added

9.

What is the relationship?

a)

SSS≅

b)

SAS≅

c)

ASA≅

d)

SAS∼

10.

Which of the following is not a valid reason to prove similar triangles?

a)

AAA∼

b)

SAS∼

c)

SSS∼

d)

Trick question,
they are all valid reasons

11.

Is ∠CAE≅∠BDE?

a)

Yes

b)

NO

12.

Which of the following cannot be used to prove triangles congruent?

a)

HL≅

b)

SSA≅

c)

SSS≅

d)

SAS≅