Question

Which of the following statements must be true, given that ABC XYZ and AB = 10 cm?

A.
AC = 10 cm

B.
XZ = 10 cm

C.
YZ = 10 cm

D.
XY = 10 cm.

Answer 1

Option D is correct.

XY = 10 cm

Explanation:

Complete Question

Which of the following statements must be true, given that ABC = XYZ and AB = 10 cm?

The diagram for the question is missing.

Solution

The diagram for the question isn't attached.

But from the condition, ABC = XYZ, it is evident that the two triangles are similar according to the SSS congruent theorem.

If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar. And from the condition given, we can predict, without seeing the diagram for the question, that

(AB/XY) = (BC/YZ) = (CA/ZX)

We can also predict that the triangles are exactly the same and the proportionality bbetween is 1.

AB = XY

BC = YZ

CA = ZX

Hence, AB = XY = 10 cm.

Hope this Helps!!!