Name: ____________________________________________
Geometry R HW 14.9
1. Find m C and m D
Date: _________________
Period: __________
2. Find the value of x and y
2. Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle.
a. Square
b. rectangle
c. parallelogram
d. kite
3. A square is inscribed in a circle. What is the ratio of the area of the circle to the area of the
square?
4. Quadrilateral BDCE is cyclic, O, is the center of the circle, and m BOC  130 . Find m BEC.
5. In the diagram below, BE CD and m BED  72 . Find the value of s and t.
6. In the diagram below, BC is the diameter, m BCD  25 and CE  DE . Find m CED.
7. In circle A, m ABD  15. Find m BCD. (Hint: draw in a diameter)
8. In the diagram below, quadrilateral JKLM is cyclic. Find the value of n.
9. Construct an inscribed equilateral triangle, square, regular hexagon, and a regular octagon.