nathanielfoster nathanielfoster
  • 15-02-2018
  • Mathematics
contestada

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

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lordM
lordM lordM
  • 16-02-2018
RS ≅ ST is the correct answer
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AlonsoDehner AlonsoDehner
  • 23-04-2019

Answer:

Step-by-step 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.

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