Which statement must be true if APQR = ASTU?

Question

asked Oct 10, 2022 71.4k views

1 Answer

Annmargaret · Answer 1 · 2022-10-15T03:01:41+0000

Answer:

(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:

$PQ \sim ST$