1. 6.2 Properties of Paralleograms

2. Parallelograms- a quadrilateral with both pairs opposite sides parallel.

3. Properties of Parallelograms
Both pairs of opposite sides congruent.
Both pairs of opposite angles congruent.
Consecutive angles are supplementary.
Diagonals bisect each other.

4. Examples In CDEF, DE = 74 mm, DG = 31 mm, and mFCD = 42°. a) Find CF.
b) Find mEFC.
c) Find DF.

5. Example In KLMN, LM = 28 in., LN = 26 in., and mLKN = 74°.
a) Find KN.
b) mNML.
c) Find LO.

6. Example:
3) WXYZ is a parallelogram. a) Find YZ. b) Find mZ.

7. Example
4) EFGH is a parallelogram. a) Find JG. b) Find FH.

8. 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

9. Example
6) Three vertices of PQRS are P(–3, –2), Q(–1, 4), and S(5, 0). Find the coordinates of vertex R.

10. Example 7) QRST is a parallelogram. Find each measure. Find TQ.
Find mT.

11. Example
8) In PNWL, NW = 12, PM = 9, and mWLP = 144°. Find each measure.