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Transcript 
THURSDAY, NOVEMBER 17
WARM­UP:
WHAT IS THE SMALLEST INTEGER WHOSE SQUARE ROOT IS GREATER THAN 2?
A) 3
B) 4
C) 5
D) 6
E) 9
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4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES
A TRIANGLE IS ISOSCELES IF IT HAS AT LEAST TWO CONGRUENT SIDES. WHEN AN ISOSCELES TRIANGLE HAS EXACTLY TWO CONGRUENT SIDES, THESE TWO SIDES ARE THE LEGS. THE ANGLE FORMED BY THE LEGS IS THE VERTEX ANGLE. THE THIRD SIDE IS THE BASE OF THE ISOSCELES TRIANGLE. THE TWO ADJACENT ANGLES TO THE BASE ARE CALLED THE BASE ANGLES.
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THEOREM 4.7 BASE ANGLES THEOREM
IF TWO SIDES OF A TRIANGLE ARE CONGRUENT, THEN THE ANGLES OPPOSITE THEM ARE CONGRUENT.
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THEOREM 4.8 CONVERSE OF BASE
ANGLES THEOREM
IF TWO ANGLES OF A TRIANGLE ARE CONGRUENT, THEN THE SIDES OPPOSITE THEM ARE CONGRUENT.
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COROLLARIES
IF A TRIANGLE IS EQUILATERAL, THEN IT IS EQUIANGULAR.
IF A TRIANGLE IS EQUIANGULAR, THEN IT IS EQUILATERAL.
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