Answered: The points A(- 1, 2,- 1), B(2, - 1, 3)…

The points A(- 1, 2,- 1), B(2, - 1, 3) and D(- 3, 1,- 3) are 3 vertices of parallelogram ABCD. Find: a) the coordinates of C b) the measure of interior angles c) the area of the parallelogram

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.3: Preparing To Do Analytic Proofs

Problem 13E: In Exercises 11 to 16, supply the missing coordinates for the vertices, using as few variables as...

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Question

The points A(- 1, 2,- 1), B(2, - 1, 3) and D(- 3, 1,- 3) are 3 vertices of parallelogram ABCD. Find:

a) the coordinates of C

b) the measure of interior angles

c) the area of the parallelogram

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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Step 1: Define the problem

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Step 2: Calculate the coordinates of vertex C

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Step 3: Calculate the measure of interior angles

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Step 4: Calculate the area of parallelogram

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