Download 4.6 Isosceles and Equilateral Triangles

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Transcript 
4.6 Isosceles and Equilateral
Triangles
Legs of an Isosceles Triangle
Vertex Angle
Base Angles
The two _____________________________ are called
___________ of an isosceles triangle.
The ___________ with the sides that are
_________________ is called the vertex angle.
The ____________ of the triangle ________________
the vertex angle is called the base. The
_____________ formed by the base and _______
___________________ are called the base angles.
If two __________________ of a triangle are ________________,
Isosceles Triangle
Theorem
then the _________ opposite those sides are
_____________________.
If two ________________ of a triangle are congruent, then
Converse Isosceles
Triangle Theorem
the sides ____________________ those angles are
congruent.
Example 1
a) Name two unmarked congruent angles.
b) Name two unmarked congruent segments.
Example 1 Continued
c) Which statement correctly names two
congruent angles?
a) PJM @ PMJ
b) JMK @ JKM
c) KJP @ JKP
d) PML @ PLK
A triangle is _____________________ only if it is
Equilateral Triangle
(4.3)
_________________________.
Each _________ of an equilateral triangle measures
________.
Equilateral Triangle
(4.4)
Example 2
a) Find mR
b) Find PR.
Example 3
• You can use the properties of equilateral
triangles and algebra to find missing values.
• Find the value of each variable.
Summary
Summary
Summary
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