Question

△ABC∼△PQR

Which statements are true?

Select each correct answer.

AB/PQ=BC/QR

∠B≅∠Q

m∠A=m∠P

AC¯¯¯¯¯≅PR¯¯¯¯¯

BC=QR

Answer 1

The correct answers are

AB/PQ = BC/QR

∠B ≅ ∠Q

m∠A = m∠P

the other two are incorrect
AC¯≅ PR¯
BC = QR

Answer 2

The true statements are 1, 2 and 3.

Explanation:

Given information:
`\triangle ABC\sim \triangle PQR`.

Two triangles are called similar triangles if their corresponding sides are proportional or corresponding interior angles are equal.

It is given that
`\triangle ABC\sim \triangle PQR`, so we get

`\angle A=\angle P`

`\angle B=\angle Q`

`\angle C=\angle R`

`(AB)/(PQ)=(BC)/(QR)=(AC)/(PR)`

Therefore options 1, 2 and 3 are correct.

The corresponding sides of similar triangles are proportional but not congruent, therefore options 4 and 5 are incorrect.