PROPERTIES OF CIRCLES
PROPERTIES OF CIRCLES PROPERTIES OF CIRCLES
~ ~3. AB and A C are tangents.m8 FkaA~~d~ ______ ~D~ ______________ -+~~~O ____________ ~EhxbcEXERCISE SET 7EUse the rules of patty paper geometry to construct each figure. When only one figure can beconstructed using the given information, we say the given information determines a unique figure. Ifthis is the case, write unique next to the figure. If more than one figure can be constructed using thegiven information, write more than one solution next to the figure. If it is impossible to construct afigure using the given information, write none." A~_o ---'08 ~~,.. __1. Given AB and CD as sides, construct a kite.2. Given AB as a side, construct a rectangle.c_._o=============- .. ,;:------__ o D .. ~ H3. Given CD as a diagonal, construct a rhombus.4. Given CD as a diagonal, construct a square.S. Given AB and CD as diagonals, construct a parallelogram.6. Given AB and CD as sides and LH as one of the angles, construct a parallelogram.7. Given AB and CD as sides and LG as one of the angles, construct a kite.8. Given CD as a diagonal and LH as one of the angles, construct a rhombus.'24 INVESTIGATION SET 7
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
- Page 1 and 2: INVESTIGATION SET 7PROPERTIES OF CI
- Page 4 and 5: Guided Inyestlgatlon 7. I continued
- Page 8 and 9: Step 1:Guided Invesligalion 7.5INSC
- Page 10 and 11: c:::J ~G~u~id=.~d~l=n~y~.=sl~ig~a='
- Page 12 and 13: Step 1:Guided Investigation 7.9CYCL
- Page 14 and 15: ~Step 1:Open Investigation 7.2~..!!
- Page 16 and 17: c::::J Open Investigation 7.6~ ANGL
- Page 18 and 19: EXERCISE SET 7 ASketch and carefull
- Page 20 and 21: EXERCISE SET 7CUse your patty paper
- Page 24 and 25: EXERCISE SET 6E1. more than one pos
- Page 26: EXERCISE SET 7E1. more than one pos
~ ~3. AB and A C are tangents.m8 FkaA~~d~ ______ ~D~ ______________ -+~~~O ____________ ~EhxbcEXERCISE SET 7EUse the rules of patty paper geometry to construct each figure. When only one figure can beconstructed using the given information, we say the given information determines a unique figure. Ifthis is the case, write unique next to the figure. If more than one figure can be constructed using thegiven information, write more than one solution next to the figure. If it is impossible to construct afigure using the given information, write none." A~_o ---'08 ~~,.. __1. Given AB and CD as sides, construct a kite.2. Given AB as a side, construct a rectangle.c_._o=============- .. ,;:------__ o D .. ~ H3. Given CD as a diagonal, construct a rhombus.4. Given CD as a diagonal, construct a square.S. Given AB and CD as diagonals, construct a parallelogram.6. Given AB and CD as sides and LH as one of the angles, construct a parallelogram.7. Given AB and CD as sides and LG as one of the angles, construct a kite.8. Given CD as a diagonal and LH as one of the angles, construct a rhombus.'24 INVESTIGATION SET 7
Change language