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Classifying Triangles Add the following to your math notes.

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The sum of the angle measures of EVERY triangle is 180°.

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180°

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Find the value of x 55 65 x

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Find the value of x 28° x° 135°

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Find the value of x 36° 79° x°

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Find the value of x 45° x°

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Every triangle can be classified by its angles and by its sides.

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Classifying Triangles by Angles

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If EVERY angle is less than 90°, it is an ACUTE Triangle.

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one is fat If the measure of ONE angle is more than 90° it’s an OBTUSE triangle.

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all the same If the measure of EACH angle is equal, it is EQUIANGULAR.

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If ONE angle measures 90°,

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it is a RIGHT triangle.

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Classifying Triangles by Sides

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it is SCALENE. No sides the same If none of the sides have the same length,

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it is an ISOSCELES triangle. If at least two sides measure the same,

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Try to think of an isosceles triangle as a person.

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The arms would be attached on the congruent sides.

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The point shared by the congruent sides is the head.

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The two other points represent the feet.

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The angles by the “feet” are always congruent.

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Try to figure out which angles are equal.

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Be careful, your triangle might be “tired”.

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all the sides equal EQUILATERAL. If the measure of EACH side is equal, it is…

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All equilateral triangles are also equiangular.

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Can a triangle be right and isosceles? What is the measure of the other 1 two angles? 2

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A. 45°

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B. 60°

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C. 50° 65°

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D. 28° 17° 135°

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E. 36° 79° 65°

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F. 41° 68° 71°

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G. 25° 100° 55°

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H. 120° 30°

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