CHAPTER 8 EXAMPLES. 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.

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Presentation transcript:

CHAPTER 8 EXAMPLES

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.

 Find the value of x in the diagram.

 Find x.

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

8.2 Examples  Find x and y.

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

Find T.

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

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

 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).

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

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

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

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

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

 HK is the midsegment of trapezoid DEFG.

 Find m<A and m<C.

Coordinate Geometry Examples  Name the coordinates.

 Name the coordinate.

 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)

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

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