4-6 Congruence in Right Triangles

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4-6Congruence in Right Triangles

• 1 card

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VocabularyRight Triangles
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Hypotenuse-Leg Theorem(HL)

• If the hypotenuse and leg of one right triangle
  are congruent to the hypotenuse and leg of
  another right triangle, then the triangles are
  congruent.

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Ex 1Which are congruent by HL?
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Ex 1Which are congruent by HL?
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Ex 2 Prove the trianglesare congruent
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Ex 2 Prove the trianglesare congruent

• Given

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Ex 2 Prove the trianglesare congruent

• Given

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Ex 2 Prove the trianglesare congruent

• Given
• All Right angles are congruent

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Ex 2 Prove the trianglesare congruent

• Given
• All Right angles are congruent

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Ex 2 Prove the trianglesare congruent

• Given
• All Right angles are congruent
• Reflexive

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Ex 2 Prove the trianglesare congruent

• Given
• All Right angles are congruent
• Reflexive

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Ex 2 Prove the trianglesare congruent

• Given
• All Right angles are congruent
• Reflexive
• HL

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Ex 3 What else do you need to prove the
triangles are congruent?
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Ex 3 What else do you need to prove the
triangles are congruent?
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Ex 4 Prove the two triangles are congruent
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Ex 4 Prove the two triangles are congruent

1. Given

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Ex 4 Prove the two triangles are congruent

1. Given

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Ex 4 Prove the two triangles are congruent

• Given
• Definition of a midpoint

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Ex 4 Prove the two triangles are congruent

1. Given
2. Definition of a midpoint

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Ex 4 Prove the two triangles are congruent

1. Given
2. Definition of a midpoint
3. HL