Respuesta :
ΔPRQ ≅ ΔTRS under both (side-side-side) SSS condition and (angle-side-angle) ASA condition.
What exactly does "triangle congruency" mean?
- If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.
- These triangles can be moved, rotated, flipped, and turned to look exactly the same.
- They will coincide if they are repositioned.
- Two triangles are congruent if they satisfy the five congruence conditions.
- They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).
So,
Given: ∠P ≅ ∠T, ∠S ≅ ∠Q, TR ≅ PR, RP ≅ RQ, RT ≅ RS, PQ ≅ TS
To Prove: Δ PRQ ≅ ΔTRS
- ∠P ≅ ∠T
- ∠S ≅ ∠Q
- TR ≅ PR
- RP ≅ RQ
- RT ≅ RS
- PQ ≅ TS
So, ΔPRQ ≅ ΔTRS under both SSS condition and ASA condition.
Therefore, ΔPRQ ≅ ΔTRS under both SSS condition and ASA condition.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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