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## Prove Triangles Congruent by SAS and HL

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### Section 4.4 Prove Triangles Congruent by SAS and HL Homework Pg 243 #9-14, 25-27, 36 (prove 36) Vocabulary Leg of a triangle the sides adjacent to the right angle ... – PowerPoint PPT presentation

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Title: Prove Triangles Congruent by SAS and HL

1
Section 4.4
• Prove Triangles Congruent by SAS and HL

2
Homework
• Pg 243 9-14, 25-27, 36 (prove 36)

3
Vocabulary
• Leg of a triangle the sides adjacent to the
right angle in a right triangle
• Hypotenuse the side opposite of the right angle
in a right triangle

4
Postulate 20 Side-Angle-Side (SAS) Congruence
Postulate
• If two sides and the included angle of one
triangle are congruent to two sides and the
included angle of a second triangle, then the two
triangles are congruent.

5
Theorem 4.5Hypotenuse-Leg (HL) Congruence Theorem
• If the hypotenuse and a leg of a right triangle
are congruent to the hypotenuse and a leg of a
second right triangle, then the two triangles are
congruent.

6
Use the SAS Congruence Postulate
Write a proof.
GIVEN
PROVE
7
Use the Hypotenuse-Leg Congruence Theorem
Write a proof.
GIVEN
WY XZ, WZ ZY, XY ZY