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Similar Triangles Proof

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Complete each proportion.
AB / BM  =  ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

2.

What is the "statement" for step 3 of the proof?

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

3.

What is the "reason" for step 3 of the proof?

a)

Vertical Angle Theorem

b)

given

c)

reflexive property

d)

proof

4.

When proving these triangles similar, what would you write in for the missing reason?

a)

Math

b)

Corresponding sides are proportional

c)

Corresponding sides are congruent

d)

SSS similarity postulate

5.

What reasons complete the proof?

a)

Given, AA Similarity Postulate

b)

Vertical Angle Theorem, AA Similarity Postulate

c)

Reflexive Property, SAS Similarity Postulate

d)

Definition of Angle Bisector, SSS Similarity Postulate

6.

What additional information can we conclude from the given and why?

a)

∠ADB and ∠ADC are right angles because AD goes straight down.

b)

∠B≅∠C because the triangle is isosceles

c)

∠BAD≅∠CAD because they look the same

d)

None of the above

7.

Which is NOT a way to prove triangles similar?

a)

AA

b)

SSS

c)

ASA

d)

SAS

8.

In similar triangles, corresponding angles are ___________.

a)

similar

b)

congruent

c)

overlapping

d)

proportional

9.

What will the last "reason" of this proof be?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

CPCTC

d)

Reflexive

10.

In similar triangles, corresponding sides are ___________.

a)

similar

b)

congruent

c)

overlapping

d)

proportional

11.

Complete the Proof above.

a)

AA

b)

SSS

c)

SAS

d)

HL

12.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

13.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

14.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

15.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE