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The Isosceles Triangle Theorems

- Lesson 4.4
- Pre-AP Geometry

Isosceles Triangle

A triangle with at least two congruent sides.

The Isosceles Triangle Theorem

- If two sides of a triangle are congruent, then

the angles opposite those sides are congruent.

Base angles of an isosceles triangle are

congruent.

The Isosceles Triangle Theorem

- COROLLARY An equilateral triangle is also

equiangular.

The Isosceles Triangle Theorem

- COROLLARY An equilateral triangle has three

60 angles.

The Isosceles Triangle Theorem

- COROLLARY The bisector of the vertex angle of

an isosceles triangle is also the perpendicular

bisector of the base of the triangle.

CONVERSE ISOSCELES TRIANGLE THEOREM

- If two angles of a triangle are congruent, then

the sides opposite those angles are also congruent

CONVERSE ISOSCELES TRIANGLE THEOREM

- COROLLARY An equiangular triangle is also

equilateral.

Written Exercises

- Problem Set 4.4A p.137 3, 4, 6, 9, 12, 14,

15, 17, 22

Written Exercises

- Problem Set 4.4B, p.138 16, 19, 21, 24, 27, 31

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