Question

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Answer 1

One thing right out of the box is that the circles are congruent because the radii are congruent.

Answer 2

And, segment PQ ≅ segment RS because their arcs are given to be congruent. ( arc PQ ≅ arc RS)

In the same circle or in congruent circles, congruent arcs have congruent chords.

Answer 3

@stupidinmath What are you seeing as being true based on the information?

Answer 4

and that is by Arc-chord equal theorem right?

Answer 5

To the best of my understanding as to what the Arc-Chord theorem says, yes.

Does it mean this: In the same circle or in congruent circles, congruent arcs have congruent chords.

Answer 6

Also, these arcs in red (see attachment) are congruent.

Answer 7

Every chord has two arcs, a major arc and a minor arc.

If the chord passes through the center of the circle and is a diameter, then the major arc and the minor arc have equal measures because the arcs are semi-circles.

Answer 8

Hmm, yeah, that's right..
Oh, alright, thanks :DD

Answer 9

I think we were to conclude this: And, segment PQ ≅ segment RS
by the reason by Arc-chord equal theorem.

Answer 10

I do think so too. :) thanks

Answer 11

Alrighty, then.