Quadrilateral ABCD has vertices at A(3, -2), B(4, 3), C(-2, 0) and D (-3, -5). Select two responses that help prove the shape is a parallelogram. A. If the slopes of AD and BC are opposite reciprocals and the lengths of AD and BC are congruent, then ABCD is a parallelogram. B. If the slopes of AD and BC are equal and the lengths of AD and BC are congruent, then ABCD is a parallelogram. C. If angles A and B are supplementary, then ABCD is a parallelogram. D.If the slopes of AD and BC are equal and the slopes of CD and BA are equal, then ABCD is a parallelogram. E. If AD and BC have the same length, as well as BC and CD, then ABCD is a parallelogram

Quadrilateral ABCD has vertices at A(3, -2), B(4, 3), C(-2, 0) and D (-3, -5). Select two responses that help prove the shape is a parallelogram. A. If the slopes of AD and BC are opposite reciprocals and the lengths of AD and BC are congruent, then ABCD is a parallelogram. B. If the slopes of AD and BC are equal and the lengths of AD and BC are congruent, then ABCD is a parallelogram. C. If angles A and B are supplementary, then ABCD is a parallelogram. D.If the slopes of AD and BC are equal and the slopes of CD and BA are equal, then ABCD is a parallelogram. E. If AD and BC have the same length, as well as BC and CD, then ABCD is a parallelogram

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

Chapter2: Working With Real Numbers

Section2.5: The Distributive Property

Problem 75WE

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Question

Quadrilateral ABCD has vertices at A(3, -2), B(4, 3), C(-2, 0) and D (-3, -5).

Select two responses that help prove the shape is a parallelogram.

A. If the slopes of AD and BC are opposite reciprocals and the lengths of AD and BC are congruent, then ABCD is a parallelogram.

B. If the slopes of AD and BC are equal and the lengths of AD and BC are congruent, then ABCD is a parallelogram.

C. If angles A and B are supplementary, then ABCD is a parallelogram.

D.If the slopes of AD and BC are equal and the slopes of CD and BA are equal, then ABCD is a parallelogram.

E. If AD and BC have the same length, as well as BC and CD, then ABCD is a parallelogram.

5
4
B
C
-6 -5 -4 -3 2 -1,
1 2 3 4 5 6
-1
-2
|A
-3
-5
D
-6

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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