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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
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