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4-6 Congruence in Right Triangles

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Presentation on theme: "4-6 Congruence in Right Triangles"— Presentation transcript:

1 4-6 Congruence in Right Triangles
1 card

2 Vocabulary Right Triangles

3 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.

4 Ex 1: Which are congruent by HL?

5 Ex 1: Which are congruent by HL?

6 Ex 2: Prove the triangles are congruent

7 Ex 2: Prove the triangles are congruent
Given

8 Ex 2: Prove the triangles are congruent
Given

9 Ex 2: Prove the triangles are congruent
Given All Right angles are congruent

10 Ex 2: Prove the triangles are congruent
Given All Right angles are congruent

11 Ex 2: Prove the triangles are congruent
Given All Right angles are congruent Reflexive

12 Ex 2: Prove the triangles are congruent
Given All Right angles are congruent Reflexive

13 Ex 2: Prove the triangles are congruent
Given All Right angles are congruent Reflexive HL

14 Ex 3: What else do you need to prove the triangles are congruent?

15 Ex 3: What else do you need to prove the triangles are congruent?

16 Ex 4: Prove the two triangles are congruent

17 Ex 4: Prove the two triangles are congruent
Given

18 Ex 4: Prove the two triangles are congruent
Given

19 Ex 4: Prove the two triangles are congruent
Given Definition of a midpoint

20 Ex 4: Prove the two triangles are congruent
Given Definition of a midpoint

21 Ex 4: Prove the two triangles are congruent
Given Definition of a midpoint HL

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