Question

Can someone please help me with this question? Thank you!

Answer 1

Answer: A

Explanation:

`\stackrel\frown{XY}` ≅
`\stackrel\frown{YZ}`

⇒ ∠XOY ≅ ∠ZOY

`\overline{XO}` ≅
`\overline{ZO}` since they are both a radius

`\overline{OY}` ≅
`\overline{OY}` based on reflexive property

∴ ΔXOY ≅ ΔZOY by SAS

So,
`\overline{XY}` ≅
`\overline{ZY}` by CPCTC

ZY = 10.2 is given

so, XY = 10.2 by substitution property