ISOSCELES TRIANGLES Section 4-6 spi.3.2.A Jim Smith JCHS.

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Presentation transcript:

ISOSCELES TRIANGLES Section 4-6 spi.3.2.A Jim Smith JCHS

Isosceles triangles have at least 2 congruent sides Vertex angle Leg Leg Base angle Base angle Base

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

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 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

IF ‹ EDC = 120° Find : ‹ ABE = ‹ A = ‹ BED = ‹ EDB = 23° ‹ C = 134° | | | A B C D E IF ‹ EDC = 120° Find : ‹ ABE = ‹ A = ‹ BED = ‹ EDB = ‹ C = 35° 22° 23° 134° 79° 104° 23° 120 – 79 = 41°

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

Equilateral triangles are special isosceles triangles. 60° | | 60° 60° |