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Exploring Similar Triangles Quiz

Total questions: 7

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following is a necessary condition for two triangles to be similar?

a)

All sides are equal in length

b)

All corresponding angles are equal

c)

All corresponding sides are parallel

d)

All triangles are always similar

2.

If triangle ABCABC is similar to triangle DEFDEF , which of the following statements must be true?

a)

AB=DEAB = DE

b)

A=D\angle A = \angle D

c)

BC=EFBC = EF

d)

AC=DFAC = DF

3.

Which of the following is NOT a valid method to prove that two triangles are similar?

a)

Angle-Angle (AA)

b)

Side-Angle-Side (SAS) similarity

c)

Side-Side-Side (SSS) similarity

d)

Angle-Side-Angle (ASA) congruence

4.

If two triangles are similar, what can be said about the ratio of their corresponding sides?

a)

The ratios are all equal

b)

The ratios are all different

c)

The ratios are all 1:2

d)

The ratios are all 2:1

5.

Which of the following pairs of triangles are always similar?

a)

Two equilateral triangles

b)

Two isosceles triangles

c)

Two right-angled triangles

d)

Two scalene triangles

6.

If triangle PQRPQR is similar to triangle XYZXYZ , which of the following is true?

a)

P=X\angle P = \angle X , Q=Y\angle Q = \angle Y , R=Z\angle R = \angle Z

b)

PQ=XYPQ = XY , QR=YZQR = YZ , RP=ZXRP = ZX

c)

PQ=YZPQ = YZ , QR=ZXQR = ZX , RP=XYRP = XY

d)

P=Y\angle P = \angle Y , Q=Z\angle Q = \angle Z , R=X\angle R = \angle X

7.

Which of the following statements about similar triangles is correct?

a)

Their areas are always equal

b)

Their corresponding angles are equal and their corresponding sides are in proportion

c)

Their perimeters are always equal

d)

Their corresponding sides are equal