Question

Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ = m∠PTS

Answer 1

Answer: B, angle TPS is equal to angle RPQ. I have taken the assement and it is the correct answer.

Explanation:

Answer 2

The correct option is B.

Explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

`\angle R=\angle S`

`\angle Q=\angle T`

`\angle P=\angle P`

Angle P can be defined as

`\angle QPR=\angle TPS`

`\angle RPQ=\angle TPS`

Therefore option B is correct.

`\angle PST\\eq\angle QPR`

`\angle SPT\\eq\angle PTS`

`\angle PRQ\\eq\angle PTS`

Therefore option A, C and D are incorrect.