1. L.E.Q. How do you use properties of diagonals of rhombuses and rectangles and determine whether a parallelogram is a rhombus or a rectangle?

2.  Each diagonal of a rhombus bisects two angles of the rhombus.

3.  The diagonals of a rhombus are perpendicular.

4.  MNPQ is a rhombus and  Find the measure of the numbered angles.

5.  Find the measures of the numbered angles in the rhombus below.

6.  The diagonals of a rectangle are congruent.

7.  Find the length of the diagonals of rectangle GFED if FD = 2y + 4 and GE = 6y – 5.

8. Find the length of the diagonals of GFED if FD = 5y - 9 and GE = y + 5.

10.  If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus.

11.  If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

12.  If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

13.  Determine whether the quadrilateral can be a parallelogram. If not, write impossible. Explain. ◦ The quadrilateral has congruent diagonals and one angle of 60 degrees. ◦ The quadrilateral has perpendicular diagonals and four right angles.

14.  A diagonal of a parallelogram bisects two angles of the parallelogram. Is it possible for the parallelogram to have sides of lengths 5, 6, 5, and 6? Explain.

15.  Community Service Builders use properties of diagonals to “square up” rectangular shapes like building frames and playing-field boundaries. Suppose you are on the volunteer building team at the right. You are helping to lay out a rectangular patio. Explain how to use properties of diagonals to locate the four corners.

16.  Pgs. 315-317 #s 2 – 20 even, 48 – 50 all.