Question

Angles PTQ and STR are vertical angles and congruent. Which chords are congruent?

Answer 1

Solution

chords are also known as diameter.
angles PTQ = STR (vertically opposite angles)
so, chord PTR = STQ.

It's helped you.

Answer 2

Answer:

Chords PQ and SR are congruent.

Step-by-step explanation:

Given that angles PTQ and STR are vertical angles and congruent.

we have to find the chords which are congruent.

In ΔPTQ and ΔSTR,

∠PTQ=∠STR   (Vertically opposite angles)

PT=TR   (both radii of same circle)

QT=TS   (both radii of same circle)

By SAS rule, ΔPTQ ≅ ΔSTR

By CPCT, PQ=SR

Hence, the chords PQ and SR are congruent.