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Warm-Up

Warm-Up. 1) Draw a convex quadrilateral 2) Draw a concave quadrilateral 3) Draw a regular hexagon 4) Draw a concave pentagon. Geometry 6-2. Properties of Parallelograms. Definition.

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Warm-Up

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  1. Warm-Up • 1) Draw a convex quadrilateral • 2) Draw a concave quadrilateral • 3) Draw a regular hexagon • 4) Draw a concave pentagon

  2. Geometry 6-2 Properties of Parallelograms

  3. Definition A quadrilateral with two pairs of parallel sides is a parallelogram. To write the name of a parallelogram, you use the symbol

  4. Properties of Parallelograms • If a quadrilateral is a parallelogram, then… • The opposite sides are congruent • The opposite angles are congruent • The consecutive angles are supplementary • The diagonals bisect each other

  5. BC = AD BZ = DZ • AB = DC AZ = CZ • B   D BC || AD • A   C AB || DC • A +  B = 180 • B +  C = 180

  6. In CDEF, DE = 74 mm, DG = 31 mm, and mFCD = 42°. Example CF = GF = mDEF = mCDE =

  7. Example Find the length of… WX = mWXY =

  8. Example Find the length of… FH = EG =

  9. L K J Find the Missing Point Three vertices of JKLM are J(3, –8), K(–2, 2), and L(2, 6). Find the coordinates of vertex M. Since JKLM is a parallelogram, both pairs of opposite sides must be parallel.

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