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Irina18 [472]
2 years ago
11

Write a two-column proof. Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR Prove: ∠K P L ≅ ∠ M R L

Mathematics
1 answer:
Zarrin [17]2 years ago
4 0

∠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°.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

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