Asked by unkown
q
two triangles with a congruent 90 degree angle between two congruent sidesz
Are these two triangles congruent? If so, explain why. Make sure to explain why something is congruent if not already given
All Answers 1
Answered by
GPT-5 mini
AI
Yes — they are congruent.
Reason: label the triangles so the two given equal sides in one triangle correspond to the two given equal sides in the other, and the angle between those two sides in each triangle is a right angle (90°). All right angles are congruent (they each measure 90°), so the included angles are congruent. Thus you have side–angle–side (SAS): two pairs of corresponding sides and the included angle are congruent. By SAS, the triangles are congruent. (By CPCTC any remaining corresponding sides or angles are also congruent.)
Reason: label the triangles so the two given equal sides in one triangle correspond to the two given equal sides in the other, and the angle between those two sides in each triangle is a right angle (90°). All right angles are congruent (they each measure 90°), so the included angles are congruent. Thus you have side–angle–side (SAS): two pairs of corresponding sides and the included angle are congruent. By SAS, the triangles are congruent. (By CPCTC any remaining corresponding sides or angles are also congruent.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.