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Right Triangle Proving Right Triangle congruent independent practice

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Answer:

HL = Hypotenuse & Leg of a right triangle are congruent to another right triangle.

Explanation:

To prove a triangle is congruent to another using HL, you must prove that the triangles have a corresponding 90 degree angles, corresponding congruent hypotenuse side lengths, and corresponding congruent hypotenuse legs.

The triangles here both have 90 degree angles a marked on the figure.

Two ways to Prove:

  • Reflexive property for the hypotenuse. Properties of a rectangle to prove equal legs.
  • Rotation about point M and translation

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