Download Geometry 4-6 Isosceles and Equilateral Triangles

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Geometry 4-6 Isosceles and Equilateral Triangles
The two congruent sides of an isosceles triangle are called
the legs of the triangle. The third side is called the base
of the triangle. The two angles that are on the base are
called base angles
, and the third angle is called the
vertex angle
.
vertex angle
leg
leg
base
Find each measure.
180 - 120 = 60 / 2 = 30
PN
13
Theorem 4.11 - Isosceles Triangle Converse: If two
angles of a triangle are congruent, then the sides opposite
those angles are also congruent.
Corollary 4.3: A triangle is equilateral if and only if it is
equiangular.
Corollary 4.4: Each angle of an equilateral triangle
measures 60.
base angles
m M
Theorem 4.10 - Isosceles Triangle Theorem: If two sides
of a triangle are congruent, then the angles opposite those
sides are also congruent.
N
13 cm
120
M
P
Find the values of each variable.
180 - 80 - 100 / 2 = 50
4y - 2 = 2y + 2
2y = 4
6x + 8 = 50
y=2
6x = 42
x=7
4y - 2
80
2y + 2
6x + 8
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