64, Special Congruencies: Right Triangles

1
6-4, Special Congruencies Right Triangles

• Objectives
• Determine that two triangles are congruent based
  on AAS
• Use the Hypotenuse-Leg theorem to prove that two
  right triangles are congruent
• Calculate unknown angle measures in right
  triangles

2
AAS (Angle Angle Side) Theorem

• If two angles in a triangle and one side not
  included between those angles are congruent to
  two angles and the corresponding side of a second
  triangle, then the two triangles are congruent

B
B
A
A
C
C
3
The acute angles in any right triangle are
complementary
45º
60º
30º
45º
4
Hypotenuse- Leg (H-L) Theorem

• Two right triangles are congruent if the
  hypotenuse and leg of one triangle are congruent
  to the hypotenuse and corresponding leg of the
  second triangle

B
B
C
C
A
A