   Chapter 10.3, Problem 14E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 11 to 16, supply the missing coordinates for the vertices, using as few variables as possible. 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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