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Theorems





p>theorem5-5--if the legs of 1 rt. triangle r congruent to the corr. legs of another rt. triangle, then the triangles r congruent theorem5-6--if the hypotenuse and an acute angle of 1 rt. triangle r congruent to the hyp. and corr. acute angle of another rt. triangle,then the 2 triangles r congruent theorem5-9--if 1 side of a triangle is longer than the other side,then the angle opp. the longer side is greater than the angle opp. the shorter side theorem5-11--the perp.seg. froma point to a line is ythe shortest seg. from the point to the line theorem5-12--the sum of the lenghts of any 2 sides of a triangle is greater than the lenght of the third side theorem6-1--opp. sides and angles of a parallelogram r congruent theorem6-4--the diagonals of a parallelogram bisect each other theorem6-5--if both pairs of opp. sides of a quad. r congruent,the the quad is a parallelogram theorem6-6--if 1 pair of opp.

sides of a quad. r both parallel and congruent, then the quad. is a parallelogram theorem6-7--if the diagonals of a quad. bisect each other,then the quad. is a parallelogram theorem6-8--if both pairs of opp. angles in a quad r congruent,then the quad is a parallelogram theorem6-9--if a paralellogram is a rectangle then its diagonals r congruent theorem6-10--the diagonals of a rhombus r perp. theorem6-11--each diagonal of a rhombus bisects a pair of opp. angles theorem6-12--both pairs of base angles of an isoceles trapezoid r congruent theorem6-13--the diagonals of an isoceles trapezoid r congrient theorem6-14--the mediand of a trapezoid is parallel to the bases and its measure is one half the sum of the measures of the bases

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