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Triangles
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WHAT IS A TRIANGLE?
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A triangle is: A polygon A three sided figure
A geometric shape with three angles or vertices
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HOW CAN WE CLASSIFY THEM?
What does “classify” mean? to sort or group together By their angles By their sides
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Can be classified by their congruent sides
Triangles Can be classified by their congruent sides
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Scalene Triangle no congruent sides
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Has at least two congruent sides
Isosceles Triangle Has at least two congruent sides
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Has three congruent sides
Equilateral Triangle Has three congruent sides
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Can be classified by the measurement of their angles
Triangles Can be classified by the measurement of their angles
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Right Triangle Has one right angle
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Acute Triangle Has three acute angles
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Triangle with one obtuse angle
Obtuse Triangle Triangle with one obtuse angle
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Cut a triangle out of the sheet of paper from Mrs. Burt
Triangles Cut a triangle out of the sheet of paper from Mrs. Burt
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Put them together on a straight line.
Triangles Tear off the dotted corners. Piece them together by having the corners touch. Put them together on a straight line.
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The sum of the angles of a triangle is ALWAYS
Triangles The sum of the angles of a triangle is ALWAYS 180 degrees -a straight line-
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To find a missing angle, add up the two angles you know
Triangles To find a missing angle, add up the two angles you know
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? 70˚ 70˚
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Subtract the sum from 180 and you have the missing angle
Triangles Subtract the sum from 180 and you have the missing angle
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40˚ ? 70˚ 70˚
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Congruent Triangles
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Congruent Triangles Have the same SIZE and the same SHAPE
They may be flipped or rotated
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ABC is congruent to DEF B F E D A C
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One for you Name the congruent triangles remembering to name the angles in order F E Z means “is congruent to” D ZXY ~ FED = Y X
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