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Transcript 
GeomP5 5.7 ­ Congruent Triangle Proofs
Isosceles Triangle Base Angles Theorem
In an isosceles triangle, the base angles are congruent.
Isosceles Triangle Base Angles Theorem
In an isosceles triangle, the base angles are congruent.
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
Isosceles Triangle Base Angles Theorem
In an isosceles triangle, the base angles are congruent.
Remember how I said you can't use Angle­Side­Side?
There's an exception...with Right Triangles.
First, some vocabulary.
leg
hypotenuse ­ the side opposite the right angle
leg ­ one of the sides next to the right angle
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
Proving Triangles Congruent: HL Method
If the hypotenuse and one leg of a right triangle ΔABC ≅ the hypotenuse and one leg of right triangle ΔDEF, then by Hypotenuse Leg Theorem, ΔABC ≅ ΔDEF:
E
B
C
A
D
F
Proving Triangles Congruent: HL Method
If the hypotenuse and one leg of a right triangle ΔABC ≅ the hypotenuse and one leg of right triangle ΔDEF, then by Hypotenuse Leg Theorem, ΔABC ≅ ΔDEF:
B
C
A
E
F
D
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
GeomP5 5.7 ­ Congruent Triangle Proofs
November 02, 2016
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