Equilateral TRIANGLES

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Presentation transcript:

Equilateral TRIANGLES ISOSCELES and Equilateral TRIANGLES

Recall that an isosceles triangle has at least two congruent sides Recall that an isosceles triangle has at least two congruent sides. The congruent sides are called the legs. The vertex angle is the angle formed by the legs. The side opposite the vertex angle is called the base, and the base angles are the two angles that have the base as a side.

The Isosceles Triangle Theorem

The Isosceles Triangle Theorem (Converse)

| | If 2 sides of a triangle are congruent then the angles opposite them are congruent | |

Ex. 1 Ex. 2 X 30° | | | | X X 70° 70° 180 – 30 = 150° X = 150 2 X = 75° X = 180 – 70 – 70 X = 40° X + X + 30 = 180° 2X + 30 = 180 2X = 150 X = 75° X + 70 + 70 = 180 X + 140 = 180 X = 40°

X = 10 Ex. 3 The converse is also true If 2 angles of a triangle are congruent, then the sides opposite them are congruent X = 10 10 X 7

‹1 = 62° ‹2 = ‹3 = 56° ‹5 = 31° ‹6 = Ex 4. IF ‹4 = 118° , FIND B | A C