Question

The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. [The use of the set of axes below is optional.]

Name: The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. [The use of the set of axes below is optional.]
Uploaded: 2022-04-17T04:16:41-08:00
Duration: 2 min 6 s
Channel: Jerelyn Nevil
Description: The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. [The use of the set of axes below is optional.]

          The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. [The use of the set of axes below is optional.]

The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. [The use of the set of axes below is optional.]

Added by Charles T.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Jerelyn Nevil

04/17/2022

Step 1

The slope formula is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Slope of line MA: \[ m_{MA} = \frac{-3 - 2}{-1 - (-4)} = \frac{-5}{3} \] Slope of line AT: \[ m_{AT} = \frac{9 - (-3)}{7 - (-1)} = \frac{12}{8} = \frac{3}{2} \] Slope of line TH: \[ m_{TH} = Show more…

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