   Chapter 10.CT, Problem 13CT 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

Using as few variables as possible, state the coordinates of each point if △ D E F is isosceles with ≅ . D E F is an isosceles triangle with ≅

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 D is at the origin.

The coordinates of D0, 0.

Now, consider the vertex E.

Here, x-coordinate is given as 2a.

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

Since, it is at 0, the vertex E has the coordinates 2a, 0.

The distance from D to E in the x- axis is 2a.

F lies midway between D and E

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