1. CHAPTER 8 EXAMPLES

2. 8.1 Examples  Find the sum of the measures of the interior angles of a convex pentagon.  The sum of the interior angles of a convex polygon is 2340 o. Classify the polygon by the number of sides.

3.  Find the value of x in the diagram.

4.  Find x.

5.  Find the measure of the interior angle of a regular hexagon.

6. 8.2 Examples  Find x and y.

7.  If the shape to the right is a parallelogram, find x.

8. Find T.

9. The quadrilateral is a parallelogram.  Find all the side lengths and the angle measures.

10. 8.3 Examples  Find the value of x that makes ABCD a parallelogram.

11.  Show FGHJ is a parallelogram. F(-3,1) G(2,6) H(4,5) J(-1,0)  Find the possible coordinates of the 4 th vertex of a parallelogram with given vertices. A(-2,0) B(0,4) C(1,-3).

12. 8.4 Examples  ABCD is a rectangle  The perimeter of triangle BCD is 38 units  DB = x + 8  DC + BC = 4x – 10  Find AC.

13.  Classify the quadrilateral. Be specific. Find the value of the variables.

14.  Find the indicated measures.  m<ABD =  m<AEB =  x =

15. 8.5 Examples  Show XYZW is a trapezoid.  X(-2,1) Y(-1,4) Z(5,1) W(6,-3)

16.  MNOP is an isosceles trapezoid.  Find m<N, m<O, and m<P.

17.  HK is the midsegment of trapezoid DEFG.

18.  Find m<A and m<C.

19. Coordinate Geometry Examples  Name the coordinates.

20.  Name the coordinate.

21.  Classify the quadrilateral.  A(0,0) B(5,5) C(8,4) D(7,1)  A(3,5) B(7,6) C(6,2) D(2,1)

22. 8.6 Examples  STUV has at least on pair of consecutive sides that are congruent. What type of quadrilateral meets this condition?

23.  What is the most specific name for the figure?  Is ABCD a square?