Download Holt McDougal Geometry 4-9

4-9 Isosceles and Equilateral Triangles
Objectives
Prove theorems about isosceles and
equilateral triangles.
Apply properties of isosceles and
equilateral triangles.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Vocabulary
legs of an isosceles triangle
vertex angle
base
base angles
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Recall that an isosceles triangle has at least two
congruent sides.
_____ - The congruent sides of an isosceles
triangle.
____________– The angle formed by the legs.
______ – The side opposite the vertex angle.
______________– The two angles that have the
base as a side.

is the vertex angle.

and 
are the base angles.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Reading Math
The Isosceles Triangle Theorem is
sometimes stated as “Base angles of an
isosceles triangle are congruent.”
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Example 1A: Astronomy Application
The length of YX is 20 feet.
Explain why the length of YZ is the same.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Example 2A: Finding the Measure of an Angle
Find mF.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Example 2B: Finding the Measure of an Angle
Find mG.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Example 3A: Using Properties of Equilateral
Triangles
Find the value of x.
Holt McDougal Geometry
4-9 Isosceles and Equilateral Triangles
Example 3B: Using Properties of Equilateral
Triangles
Find the value of y.
Holt McDougal Geometry