a. Given: the markings on the diagram Prove: ΔWXY ≅ ΔWZY Now that you have proven the two triangles are...

Question

a. Given: the markings on the diagram
Prove: ΔWXY ≅ ΔWZY
Now that you have proven the two triangles are congruent, are the following statements true or false? Explain how you know.
True or False: ∠ZWY ≅ ∠XYW
True or False: ∠ZWY ≅ ∠XWY

SnapAndSolve AI · Accepted Answer

a. To prove ΔWXY ≅ ΔWZY, observe the diagram markings. If WX ≅ WZ, XY ≅ ZY, and WY is common, then by the SSS (Side-Side-Side) congruence theorem, ΔWXY ≅ ΔWZY.

True or False: ∠ZWY ≅ ∠XYW
True. Since ΔWXY ≅ ΔWZY, corresponding angles are congruent.
True or False: ∠ZWY ≅ ∠XWY
False. ∠ZWY and ∠XWY are not corresponding angles in the congruent triangles.

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a. Given: the markings on the diagram Prove: ΔWXY ≅ ΔWZY Now that you have proven the two triangles are...

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