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Warm-Up
• Find the value of x.
3x - 3
x + 25
GEOMETRY 4-8
Isosceles and Equilateral Triangles
Parts of an Isosceles Triangle
Vertex angle: formed by the two legs
Leg: a congruent side
Leg: a congruent side
Base angle
Base angle
Base: the side opposite the vertex angle
Theorem
• Isosceles Triangle Theorem:
• If two sides of a triangle are congruent, then the
angles opposite those sides are congruent.
If
Then
Examples
• Find the value of x.
x + 4°
1)
2)
55°
Equilateral Triangles
• Equilateral Theorem:
• All equilateral triangles are equiangular.
• All equiangular triangles are equilateral.
Examples
• Find the value of x.
Find the value of y.
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