∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
<h3>
What specifically is meant by "triangle congruency"?</h3>
- When two triangles' three corresponding sides and angles are the same sizes, they 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 moved.
- Congruence exists when two triangles 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: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
To Prove: ∠KPL ≅ ∠MRL
- As MR ⊥ PR (Given), then: ∠MRL = 90°
- Similarly, KP⊥ PR (Given), then: ∠KPL = 90°
So, ∠KPL ≅ ∠MRL.
Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
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