Mathematics, 19.06.2020 06:57, jetskiinbunny31

Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL

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The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS

We are told that;

ΔWXZ and ΔYZX share side XZ

∠WXZ and ∠XZY are right angles

∠XWZ and ∠XYZ are congruent

Now, from the given parameters, we can say that from reflexive property of congruence, XZ is congruent to itself and thus, we have one side of both triangles that is congruent.Secondly, since ∠WXZ and ∠XZY are right angles, it means they are equal and therefore congruent to each other.Lastly, we are told that ∠XWZ and ∠XYZ are congruent.In summary, we have 2 corresponding angles and one corresponding side that are equal but the corresponding side is not with the included angles and as such the triangles are congruent by AAS Congruency.

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Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z....