Asked by martin
Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The lengths of sides W X and Z Y are 21 centimeters.
Is ΔWXZ ≅ ΔYZX? Why or why not?
Yes, they are congruent by SAS.
Yes, they are both right triangles.
No, the triangles share side XZ.
No, there is only one set of congruent sides.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — they are congruent by SAS.
Reason: WX = ZY = 21 (given), XZ is common, and the angle between WX and XZ (∠WXZ) equals the angle between ZY and ZX (∠YZX) because both are right angles. Two sides and the included angle are equal, so ΔWXZ ≅ ΔYZX by SAS.
Reason: WX = ZY = 21 (given), XZ is common, and the angle between WX and XZ (∠WXZ) equals the angle between ZY and ZX (∠YZX) because both are right angles. Two sides and the included angle are equal, so ΔWXZ ≅ ΔYZX by SAS.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.