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Given O below, if XY and YZ are congruent, what is the measure of chord XY

Given O below, if XY and YZ are congruent, what is the measure of chord XY-example-1
User Hmofrad
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2 Answers

5 votes

Answer:

B. 10.2

Explanation:

User Pesama
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Answer : The value of chord XY is, 10.2 units

Step-by-step explanation :

As we are given that, XY and YZ are congruent.

XY and YZ are congruent by SSA.

The ΔXOY and ΔZOY are congruent triangles.

Side OX = Side OZ (side)

Side OY = Side OY (common side)

∠XOY = ∠ZOY (angle)

That means, in this two sides and one angle of a triangle are equal to another triangle then the triangles are congruent.

So, Side XY = Side YZ

As we are given :

Chord YZ = 10.2

So, Chord YZ = Chord XY = 10.2

Hence, the value of chord XY is, 10.2 units

User Mehmetozer
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