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Triangle Vocabulary

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Term
Definition
Acute Triangle   A triangle where ALL angles are acute (less than 90 degrees)  
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Obtuse Triangle   A triangle where one angle is obtuse (greater than 90 degrees but less than 180 degrees)  
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Right Triangle   A triangle where one angle is right (EQUAL to 90 degrees)  
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Equilateral Triangle   A triangle where all sides are congruent  
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Scalene Triangle   A triangle where all three sides have different lengths  
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Isosceles Triangle   A triangle with two sides congruent  
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Base Angles   the two angles of an isosceles triangle formed by the base and one of the congruent sides (‘bottom angles’)  
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Vertex Angle   the angle of an isosceles triangle formed by the congruent sides (‘top angle’)  
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Isosceles Triangle Theorem   If two sides of a triangle are congruent, then the triangle is isosceles  
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Angle Sum Theorem (aka Triangle Theorem)   The sum of the measures of the interior angles of a triangle is 180 degrees  
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Exterior Angle   The angle formed outside of the triangle by extending one side of the triangle out of the triangle  
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Remote Interior Angles   The two interior angles of the triangle NOT ADJACENT (next to) the given exterior angle referenced  
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Exterior Angle Theorem   The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles  
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Flow Proof   A proof that organizes a series of statements in a logical order starting with given statements. Each statement following includes a reason verifying the statement  
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Corollary 4.1   The acute angles of a right triangle are complementary (their sum is 90 degrees)  
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Congruent Triangles   Triangles that are the same size and shape  
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CPCTC   Two triangles are congruent if and only if (IFF) their corresponding parts are congruent – Corresponding Parts of Congruent Triangles are Congruent  
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Congruence Transformation   to slide, flip or turn a triangle and the size or shape doesn't change  
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Included Angle   The angle of a triangle BETWEEN the two given sides of the same triangle  
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Included Side   The side of a triangle BETWEEN the two given angles of the same triangle  
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Corollary 4.4 (Equilateral Triangle Angle Measures)   Each angle of an equilateral triangle measures 60 degrees  
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Created by: martha.kelley
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