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THURSDAY, NOVEMBER 17<br />

WARM­UP:<br />

WHAT IS THE SMALLEST INTEGER<br />

WHOSE SQUARE ROOT IS GREATER<br />

THAN 2<br />

A) 3<br />

B) 4<br />

C) 5<br />

D) 6<br />

E) 9<br />

1


4.7 USE ISOSCELES AND EQUILATERAL<br />

TRIANGLES<br />

A TRIANGLE IS ISOSCELES IF IT HAS AT LEAST<br />

TWO CONGRUENT SIDES. WHEN AN<br />

ISOSCELES TRIANGLE HAS EXACTLY TWO<br />

CONGRUENT SIDES, THESE TWO SIDES ARE<br />

THE LEGS. THE ANGLE FORMED BY THE LEGS<br />

IS THE VERTEX ANGLE. THE THIRD SIDE IS<br />

THE BASE OF THE ISOSCELES TRIANGLE. THE<br />

TWO ADJACENT ANGLES TO THE BASE ARE<br />

CALLED THE BASE ANGLES.<br />

2


THEOREM 4.7 BASE ANGLES THEOREM<br />

IF TWO SIDES OF A TRIANGLE ARE<br />

CONGRUENT, THEN THE ANGLES OPPOSITE<br />

THEM ARE CONGRUENT.<br />

3


THEOREM 4.8 CONVERSE OF BASE<br />

ANGLES THEOREM<br />

IF TWO ANGLES OF A TRIANGLE ARE<br />

CONGRUENT, THEN THE SIDES OPPOSITE<br />

THEM ARE CONGRUENT.<br />

4


COROLLARIES<br />

IF A TRIANGLE IS EQUILATERAL, THEN IT IS<br />

EQUIANGULAR.<br />

IF A TRIANGLE IS EQUIANGULAR, THEN IT IS<br />

EQUILATERAL.<br />

8


PAGE 267 # 1 ­ 17<br />

14

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