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Transcript
Geometry Outline Sec. 5-7 Mrs. Sweet Name: Date: Inequalities in One Triangle What is the order of the distances between the hour and minute hands of a clock when the times read: 1:00, 3:00, 5:00, 8:30, 1:30, 12:20? When triangles have two pairs of congruent sides there is a special relationship between the angles and the pair of sides. Hinge Theorem or SAS Inequality Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the third side is opposite the included angle. Applying the Hinge Theorem: EX. 1: EX. 2: Which cheerleader’s hands are further apart? Converse to the Hinge Theorem or SSS Inequality Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the included angle is opposite the third side. Using the Converse to the Hinge Theorem: EX. 3: What is the range of possible values for x in the figure below? Proving Relationships in Triangles: EX. 4: EX. 5: