1. Warm Up Use the parallelogram to find the following:
If mBCD = 138, find mBAD.
2) If AB = 6x – 1 and CD = 2x + 11, find AB.
3) If mBCD = x + 65 and mCDA = 3x – 25, find mBCD.
4) Find the x and y values that would make the figure a parallelogram. 4x 64
(6y – 4)

2. A quadrilateral with 2 pairs of parallel sides.
Parallelogram:
A quadrilateral with 2 pairs of parallel sides.
Both pairs opposite sides congruent
Both pairs opposite angles congruent
Diagonals bisect each other

3. Perpendicular diagonals
Parallelogram with 4 congruent sides
Parallelogram with 4 right angles
Perpendicular diagonals
Diagonals are congruent
Diagonals bisect the angles

4. A rhombus that is a rectangle
A parallelogram with 4 congruent sides and 4 right angles.
A rhombus that is a rectangle
“To be a square, a parallelogram must have a characteristic of a rhombus AND a characteristic of a rectangle.

5. Quadrilateral Parallelogram Rectangle Rhombus SQUARE
Quadrilateral with 2 pairs of parallel sides
Opposite angles congruent
Opposite sides congruent
Diagonals bisect each other
Rectangle
4 right angles
Diagonals congruent
Rhombus
4 congruent sides
Diagonals perpendicular
Diagonals are angle bisectors
SQUARE

6. Pencils Down! Determine the most specific name for the quadrilateral.

10. mQPR = WXZ = GHF = DGH = mQTP = PY = HF = mPQT = RP =
1. rhombus PQRS
2. rectangle WXYZ
XZ = 12
3. square DEFG
mQPR =
WXZ =
GHF =
DGH =
mQTP =
PY =
HF =
mPQT =
RP =