Congruent Triangles

1
Congruent Triangles

• Sections 4.1-4.3 and 4.6

2
Parts of a Triangle

• Sides

• Segment AB, AC, BC

• Vertices

• Points A, B, C

• Angles

• Angles A, B, C

3
Classification by Angles

• Acute
• Obtuse
• Right
• Equiangular

4
Classification by Sides

• Scalene
• Isosceles
• Equilateral

5
Triangle Measurements

• Angle Sum Theorem
• Three angles of triangle 180
• Third Angle Theorem
• If two angles of triangle 1 angles of triangle
  2, then third angles are
• Exterior Angle Theorem
• Ext. angle sum of remote interior angles

6
Isosceles Triangle

• Definition
• Triangle with two congruent sides.

A
B
C
7
Isosceles Triangle

• Definition
• Triangle with two congruent sides.

A

• Theorem
• If isosceles, then base angle are congruent.

B
C
8
Congruent Triangles

• CPCTC

Corresponding Parts of Congruent Triangles are
Congruent.
9
Congruent Triangles
A
Z
B
C
Y
X