Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select all the correct triangles. which triangles are congruent to △abc…

Question

select all the correct triangles. which triangles are congruent to △abc by the sas criterion?

Explanation:

Step1: Analyze △ABC's SAS

In △ABC, sides \( AB \) (one mark), \( BC \) (two marks), and included angle \( \angle B \) (blue arc) form SAS.

Step2: Check each triangle

  • Triangle Q: Sides (two marks, one mark) and included angle (blue arc) match SAS of △ABC.
  • Triangle R: Sides (one mark, two marks) and included angle (blue arcs) match SAS of △ABC.
  • Others (U, P, T, S) don't have matching SAS (side - angle - side) structure.

Answer:

Triangle Q, Triangle R