30°–60°–90° right triangle relationships - the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg, 45°–45°–90° right triangle relationships - the legs are equal in measure and the hypotenuse is √2 times as long as a leg, Altitude of a triangle - a line segment drawn from any vertex of a triangle perpendicular to the opposite side, Angle bisector - line, ray, or segment that divides an angle into two congruent angles, Congruent angles - angles whose angle measurements are equal, Congruent segments - line segments whose lengths are equal, Corresponding angles - angles in two figures whose relative position is the same, Geometric mean - a positive number x such that a/x=x/b, so x2 = ab and x =√ab√2, Hypotenuse of a right triangle - the longest side of a right triangle, the side opposite the right angle, Perpendicular bisector of a line segment - ine, ray, or segment that divides a line segment into two congruent segments and forms a 90° angle at the point of intersection, Perpendicular lines - lines that intersect at a 90° angle to form right angles, Proportional sides - corresponding side lengths form equivalent ratios, Pythagorean triples - three positive integers, a, b, and c, such that a2 + b2 = c2, triples can be generated by multiplying a given Pythagorean triple by any positive integer, Segment bisector - point, line, ray, segment, or point that divides a line segment into two congruent segments, Similar figures - shapes whose angles are congruent and side lengths are proportional (equal scale factor),

Geometry Unit 5/6

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