4.3 Isosceles and Equilateral Triangles

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4.3 ISOSCELES
AND
EQUILATERAL
TRIANGLES
VOCABULARY
Two angles of an isosceles triangle are
always congruent. These are the angles
opposite the congruent sides
BASE ANGLES
THEOREM
If two sides of a triangle are congruent
, then the angles opposite them are
congruent
EXAMPLE 1
Use the Base Angles Theorem to find
the measure of <L
CONVERSE OF BASE
ANGLES THEOREM
If two angles of a triangle are
congruent, then the sides opposite
them are congruent.
EXAMPLE 2
Use the converse of the base angles
theorem to find the value of x
YOU TRY IT…
EQUILATERAL
THEOREM
If a triangle is equilateral, then it is equiangular.
EQUIANGULAR
THEOREM
If a triangle is equiangular, then it is equilateral.
EXAMPLE 3
YOU TRY IT…

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