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6.1.1 Monday, February 9, 2015 10:47 AM Assignment: 6.1.1 # 4 - 8, 12, 13, 15 Conditions for Side-Angle-Side (SAS) Triangle Congruence The triangles have two pairs of congruent sides and the angle included by the two sides has the same measure SSS - Three pairs of corresponding side lengths that are congruent ASA - Two pairs of corresponding angles that are congruent and the sides included by those angles are also congruent AAS - Two pairs of corresponding angles that are congruent and pair of corresponding sides that are also congruent (Triangle sum theorem states the third pair of angles will also be congruent therefore ASA) HL- Two right triangles with corresponding legs that are congruent and whose hypotenuses are also congruent (Pythagorean Theorem states the third pair of sides will also be congruent - therefore SSS or SAS) When trying to prove congruency, don't forget: • parallel line relationships that result in congruent angles (i.e. alternate interior angles) • shared sides • any other unmarked relationships (i.e. vertical angles) Ch. 6 Page 1 angles (i.e. alternate interior angles) • shared sides • any other unmarked relationships (i.e. vertical angles) 12. Ch. 6 Page 2

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