The coordinates of the four vertices of quadrilateral ABCD are listed below. • A(-3,3) B(2,6) • C(5, 1) . D(-5,-5) Which set of statements definitively proves whether or not this quadrilateral is a rectangle? A. The slope of AB is B. The slope of CD is 6-3 2-(-3) -5-1 -5-5 ○ C. The slope of AB is 6-3 2-(-3) D. The slope of BC is 6 1 - 2 5 - 3 = 5 and the slope of CD is -5-1 -5-5 3 - 5 These two segments are perpendicular, so the shape is a rectangle. 3 = and the slope of DA is 5 3-(-5) -3-(-5) 8 These two segments are not perpendicular, so the shape is not a rectangle. 2 3 = and the slope of BC is 5 6 1 2-5 5 =- These two segments are perpendicular, so the shape is a rectangle. 3 5 -5-1 3 -- , and the slope of CD is = 3 -5-5 . These two segments are not perpendicular, so the shape is not a rectangle. 5

The coordinates of the four vertices of quadrilateral ABCD are listed below. • A(-3,3) B(2,6) • C(5, 1) . D(-5,-5) Which set of statements definitively proves whether or not this quadrilateral is a rectangle? A. The slope of AB is B. The slope of CD is 6-3 2-(-3) -5-1 -5-5 ○ C. The slope of AB is 6-3 2-(-3) D. The slope of BC is 6 1 - 2 5 - 3 = 5 and the slope of CD is -5-1 -5-5 3 - 5 These two segments are perpendicular, so the shape is a rectangle. 3 = and the slope of DA is 5 3-(-5) -3-(-5) 8 These two segments are not perpendicular, so the shape is not a rectangle. 2 3 = and the slope of BC is 5 6 1 2-5 5 =- These two segments are perpendicular, so the shape is a rectangle. 3 5 -5-1 3 -- , and the slope of CD is = 3 -5-5 . These two segments are not perpendicular, so the shape is not a rectangle. 5

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.3: Slope Of A Line

Problem 38WE

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