PROPERTIES OF CIRCLES

c:::J_ln_v_e_s_tl~g~a_tl~o~n~Se~t~6~ ________________________________ _~ PROPERTIES OF QUADRIlATERALSPPC-33PPC-34PPC-35PPC-36PPC-37PPC-38PPC-39PPC-40PPC-41PPC-42PPC-43The opposite sides of a parallelogram are congruent.The opposite angles of a parallelogram are congruent.The point of intersection of the diagonals of a parallelogram is the midpoint of eachdiagonal.If two parallel lines intersect a second pair of parallel lines that are the same distanceapart as the first pair, then the parallelogram formed is a rhombus.The diagonals of a rhombus bisect the angles.The diagonals of a rhombus are perpendicular to each other.The diagonals of a rectangle are congruent.The angles formed by the intersection of the diagonals of a kite are right angles.Exactly one pair of opposite angles of a kite are congruent.Exactly one diagonal of a kite is the perpendicular bisector of the other.Exactly one pair of opposite angles of a kite are bisected by a diagonal.~Investigation Set 7---""-------PROPERTIES OF CIRCLESPPC-44PPC-45PPC-46PPC-47PPC-48PPC-49PPC-50PPC-51PPC-52The perpendicular bisectors of two chords of a circle (or an arc of a circle) intersect at thecenter of the circle.A tangent to a circle is perpendicular to the radius (or diameter) drawn to the point oftangency.Tangent segments to a circle from a point outside the circle are congruent.The intercepted arcs and chords of two congruent central angles are congruent.The measure of an inscribed angle is one-half the measure of the central angleintercepting the same arc.Inscribed angles which intercept the same arc are congruent.The measure of an angle inscribed in a semicircle is 90°.Parallel lines intercept congruent arcs on a circle.The sum of the measures of a pair of opposite angles in a cyclic quadrilateral is 180°.CONJECTURE UST 237