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Number:Name:Unit 2B: Properties of Quadrilaterals andSimilarityGeometrySpring 2019

QuadrilateralPropertiesChartSKETCH EACHQUADRILATERAL2 pair of opposite sidesare IlExactly 1 pair ofo osite sides are Il2 pair of opposite sidesare2 pair of adjacent sidesareExactly 1 pair of sidesAll sides areOppositeZ'sExactly 1 pair of anglesAll900Both diagonals bisecteach otherDiagonals areDiagonals areer endicularOne diagonal is bisectedDiagonals bisect bothair of o osite an lesOne diagonal bisectso osite an lesConsecutive Z's aresu lementar

Name:Date:Quadrilateral:Both pairs of oppositesides areBoth pairs of oppositesides areDiagonals bisect each other.Both pairs of opposite angles are(ALL angles are congruentConsecutive angles areDiagonals areQuadrilateral:Both pairs of oppositesides areBoth pairs of oppositesides areDiagonalsBoth pairs of oppositeangles are(ALL angles are congruentConsecutive angles areDiagonals areQuadrilateral:Both pairs of consecutivesides areDiagonals areExactly one pair of opposite angles are(angles formed by 1 small side and 1 large side areShort diagonal isNo parallel sidesBlock:

Quadrilateral:Both pairs of oppositesides areBoth pairs of oppositesides are(ALL sides areDiagonalsDiagonals areDiagonalsBoth pairs of opposite angles areConsecutive angles areQuadrilateral:Both pairs of opposite sides areBoth pairs of opposite sides areDiagonals areDiagonalsDiagonals areDiagonalsBoth pairs of opposite angles areConsecutive angles areQuadrilateral:Exactly(These are calledExactly(Same1

GSE GeometryUnit 2 —Quadrilaterals & Congruence2.2 -- NotesQuadrilaterals are polygons withParallelogramOpposite sides areOpposite sides areOpposite angles areConsecutive angles areDiagonalseach other.RhombusRectangle ALL of the properties of a ALL of the properties of aparallelogram PLUSHas fourDiagonals areparallelogram PLUS:All sides areDiagonals areDiagonalsangles0SquareOther QuadrilateralsKiteTrapezoid Diagonals areOne pair of One pair of anglesarelinesIsosceles TrapezoidBase angles areOne pair oflines3

GSE GeometryName:Unit2 Quadrilaterals & CongruenceDate:2.2 —NotesQuadrilateral PracticeWhat specific quadrilateral is the figure?How do you know? It has four congruentTherefore, it is also a97pSolve for x:(12yxSolve for y:All sides of the figure are congruent and mdWZV —340What specific quadrilateral is the figure?7How do you know?DiagonalsanglesIt has four congruent340zSolve for mXVVTZWhat specific quadrilateral is the figure?How do you know?Solve for x:Diagonals areIt has four congruentIt has fourSolve for y:Therefore it is also aEFGH is a square. We know that the diagonals areAnd that the diagonals lengths areJ 15Find mkEJFFind the measure of JIF

NameDateBlockQuadrilateralsl. Given that0FGHJ is a parallelogram,2. Find x, and Yfind MH and FTI.12275For3.value of-x is the quadrilateral a parallelogram?7X 54.3xc3k 175. Find the values of x and y.6.Find the value Ofc and d.6820137. Find x, y and z in37123'KLMN.8. Gates As shown, a gate contains severalparallelograms. Find mZADC whenmZDAB 65 0.5

Find the measure of angles B, C, and D in each figure below.10.1085397Find the length of segment RT in each figure below.12.13.14.w18221312Find the value of x in each figure below.15.161780017.16.202xo1251110

ParallelogramsDefinition:quadrilateral whosecIICDandADSymbol:A smaller versionNaming:O A parallelogram is named usingYou can start from any one vertex, but you must continue in aO For example, the figure above can be either ZDABCDO orLD ADCB.BProperties of a parallelogramD1.Both pairs of opposite sides are congruent.2.Both pairs of opposite angles are congruent.c

3.Consecutive angles are supplementary.4.Diagonals bisect each other but are not congruentExamplesp1. DrawLZ7HKLP.and HP 3. m K m - 180 0.5. If m P 65 0, then m H m K and 6. Draw the diagonals with their point of intersection labeled M.then ML then KP 9. If10. If15, then ML 360, then m PKL-

Quadrilateral Properties Chart SKETCH EACH QUADRILATERAL 2 pair of opposite sides are Il Exactly 1 pair of o osite sides are Il 2 pair of opposite sides are 2 pair of adjacent sides are Exactly 1 pair of sides All sides are Opposite Z's Exactly 1 pair of angles All 90 0 Both diagonals bisect each other Diagonals are Diagonals are er endicular

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