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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.

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Presentation on theme: "4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent."— Presentation transcript:

1 4.3 ISOSCELES AND EQUILATERAL TRIANGLES

2

3 VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent sides

4 BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent

5 EXAMPLE 1 Use the Base Angles Theorem to find the measure of <L

6 CONVERSE OF BASE ANGLES THEOREM If two angles of a triangle are congruent, then the sides opposite them are congruent.

7 EXAMPLE 2 Use the converse of the base angles theorem to find the value of x

8 YOU TRY IT…

9 EQUILATERAL THEOREM If a triangle is equilateral, then it is equiangular.

10 EQUIANGULAR THEOREM If a triangle is equiangular, then it is equilateral.

11 EXAMPLE 3

12 YOU TRY IT…

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