1. Properties of Rhombus, Rectangles, and Kites. Learning Target: I can define and classify special types of parallelograms.

2. Each diagonal of a rhombus bisects two angles of the rhombus. If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus.

3. The diagonals of a rhombus are perpendicular. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

4. MNPQ is a rhombus and m<N=120. Find the measures of the numbered angles. 120 0 N M 1 2 3 4 P Q 30

5. The diagonals of a rectangle are congruent. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. A B C D AD ≅ BC

6. Examples 1. MNPQ is a rhombus and m<N=140. Find m<4. 2. Find the length of the diagonals if FD=2y+4 and GE=6y+5. N M P 4 Q F G E D 4=20 2y+4=6y+5 -4y+4=5 -4y=1 y=-1/4 FD=2y+4 FD=2(-1/4)+4 FD=3.5 GE=6y+5 GE=6(-1/4)+5 GE=3.5