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6.2 Properties of Paralleograms
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Parallelograms- a quadrilateral with both pairs opposite sides parallel.
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Properties of Parallelograms
Both pairs of opposite sides congruent. Both pairs of opposite angles congruent. Consecutive angles are supplementary. Diagonals bisect each other.
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Examples In CDEF, DE = 74 mm, DG = 31 mm, and mFCD = 42°. a) Find CF.
b) Find mEFC. c) Find DF.
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Example In KLMN, LM = 28 in., LN = 26 in., and mLKN = 74°.
a) Find KN. b) mNML. c) Find LO.
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Example: 3) WXYZ is a parallelogram. a) Find YZ. b) Find mZ.
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Example 4) EFGH is a parallelogram. a) Find JG. b) Find FH.
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Example 5) Three vertices of JKLM are J(3, –8), K(–2, 2), and L(2, 6). Find the coordinates of vertex M. J K L
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Example 6) Three vertices of PQRS are P(–3, –2), Q(–1, 4), and S(5, 0). Find the coordinates of vertex R.
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Example 7) QRST is a parallelogram. Find each measure. Find TQ.
Find mT.
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Example 8) In PNWL, NW = 12, PM = 9, and mWLP = 144°. Find each measure.
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