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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 61 Page 529

Recall the classification of quadrilaterals. You can begin by finding the slopes of the sides.

Quadrilateral

Practice makes perfect

Let's plot the given points on a coordinate plane and graph the quadrilateral.

To determine the most precise name for our quadrilateral, let's review the classification of quadrilaterals.

Quadrilateral	Definition
Parallelogram	Both pairs of opposite sides are parallel
Rhombus	Parallelogram with four congruent sides
Square	Parallelogram with four congruent sides and four right angles
Trapezoid	Quadrilateral with exactly one pair of parallel sides

Let's find the slopes of the sides using the Slope Formula.

Side	Slope Formula	Simplified
Slope of ZW: ( - 5,1), ( - 3,4)	4- 1/- 3-( - 5)	3/2
Slope of WX: ( - 3,4), ( 3, 4)	4- 4/3-( - 3)	0
Slope of XY: ( 3,4), ( 5, 3)	3- 4/5- 3	- 1/2
Slope of YZ: ( 5, 3), ( - 5,1)	1- 3/- 5- 5	- 1/5

We can tell that neither of the sides are parallel. Therefore the most specific term for the given figure is quadrilateral .

Subchapter links

Exercises p.526-530