CH. 4.7 USE ISOSCELES & EQUILATERAL TRIANGLES. VOCAB Leg: 2 sides of isosceles triangle Leg Vertex Angle: Angle formed by the two legs Base: 3 rd side.

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Presentation transcript:

CH. 4.7 USE ISOSCELES & EQUILATERAL TRIANGLES

VOCAB Leg: 2 sides of isosceles triangle Leg Vertex Angle: Angle formed by the two legs Base: 3 rd side of the isosceles angle Base Angles Base Angles: 2 angles adjacent to the base.

THEOREM 4.7: BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent. C A B

THEOREM 4.7: BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent. C A B <C

THEOREM 4.7: BASE ANGLES THEOREM EX C A B 88 72x

THEOREM 4.7: BASE ANGLES THEOREM EX C A B 110 yx

THEOREM 4.7: BASE ANGLES THEOREM EX C A B y x + 755

THEOREM 4.8: CONVERSE OF BASE ANGLES THEOREM If two angles of a triangle are congruent, then the sides opposite them are congruent. C A B

THEOREM 4.8: CONVERSE OF BASE ANGLES THEOREM If two angles of a triangle are congruent, then the sides opposite them are congruent. C A B AC

THEOREM 4.7: BASE ANGLES THEOREM EX C A B X8 72

COROLLARY TO THE BASE ANGLES THEOREM If a triangle is equilateral, then it is ________. C A B COROLLARY TO THE CONVERSE OF BASE ANGLES THEOREM If a triangle is equiangular, then it is _______.

COROLLARY TO THE BASE ANGLES THEOREM If a triangle is equilateral, then it is ____________________. C A B COROLLARY TO THE CONVERSE OF BASE ANGLES THEOREM If a triangle is equiangular, then it is ________________. equiangular equilateral

EX. C A B 70?

EX. C A B 70? Since it is an ISOSCELES triangle <B = <C So, <C = 70

EX. C A B 5x 10

EX. C A B 40 11x-18

EX. C A B 12x+22 6y-5 10y-41