Respuesta :
We can conclude that ΔMSP ≅ ΔRQP under SAS conditions.
What do we mean by a triangle's congruency?
- If all three corresponding sides and angles of two triangles are the same size, they are said to be congruent.
- These triangles can be moved, rotated, flipped, and turned to appear identical.
- If they are moved, they will coincide.
- When two triangles satisfy the five congruence conditions, congruence exists.
- They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
Given: MS ≅ RQ, MS || RQ
To Prove: ΔMSP ≅ ΔRQP
- MS = RQ = (Given)
- SP = PQ = (Q is the midpoint)
- So, ∠MSP = ∠RQP (SAS)
ΔMSP ≅ ΔRQP is proved.
Therefore, ΔMSP ≅ ΔRQP under SAS condition.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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