Warm Up Use the parallelogram to find the following: If mBCD = 138, find mBAD. 2) If AB = 6x – 1 and CD = 2x + 11, find AB. 3) If mBCD = x + 65 and mCDA = 3x – 25, find mBCD. 4) Find the x and y values that would make the figure a parallelogram. 4x 64 (6y – 4)
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
Perpendicular diagonals Parallelogram with 4 congruent sides Parallelogram with 4 right angles Perpendicular diagonals Diagonals are congruent Diagonals bisect the angles
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.
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
Pencils Down! Determine the most specific name for the quadrilateral.
mQPR = WXZ = GHF = DGH = mQTP = PY = HF = mPQT = RP = 1. rhombus PQRS 2. rectangle WXYZ XZ = 12 3. square DEFG mQPR = WXZ = GHF = DGH = mQTP = PY = HF = mPQT = RP =