Question

Which statement must be true if APQR = ASTU?

Answer 1

(a)
`PQ \sim ST`

Explanation:

Given

See attachment

Required

Which must be true

`\triangle PQR \simeq \triangle STU` implies that:

The following sides are corresponding

`PQ \sim ST`

`PR \sim SU`

`QR \sim TU`

The following angles are corresponding

`\angle P \sim \angle S`

`\angle Q \sim \angle T`

`\angle R \sim \angle U`

From the given options, only option (a) is true because:

`PQ \sim ST`