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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 11 to 16, supply the missing coordinates for the vertices, using as few variables as possible.

Chapter 10.3, Problem 14E, In Exercises 11 to 16, supply the missing coordinates for the vertices, using as few variables as A B C D is a square.

To determine

To find:

The missing coordinates for the vertices.

Explanation

The given figure is shown below.

From the figure, the following observations are made.

Since, the vertex A is at the origin.

The coordinates of A0, 0.

Now, consider the vertex B.

Here, x-coordinate is given as a.

In the B vertex, observe where it lies on y-axis.

Since, it is at 0, the vertex B has the coordinates a, 0.

The distance from A to B is a.

Since, all sides are equal in square.

The figure is redrawn as follows.

Consider the vertex C.

The vertical distance from B to c is a.

So, its y-coordinate is a.

B and c lies on the same x-point

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Chapter 10 Solutions

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