Question

In circle Q, ∠RQS ≅ ∠SQT. Which statement must be true? ≅ ∠RQT ≅ ∠RST RQ ⊥ QT RS ≅ ST

Answer 1

RS ≅ ST is the correct answer

Answer 2

Explanation:

Given that in a circle Q, angle RQS= Angle SQT

Since central angles of two arcs are equal, by circle theorem we have the corresponding chords are equal

Hence RS =ST

REcall the theorem

Theorem 1: Equal chords of a circle subtend equal angles at the center

and also the converse

2. Theorem 2: This is the converse of the previous theorem. It implies that if two chords subtend equal angles at the center, they are equal.