   Chapter 10.CR, Problem 28CR 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 Review Exercise 27 to 30, supply the missing coordinates for the vertices, using as few variables as possible. Rectangle D E F G with D G = 2 · D E

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.

Since, the vertical distance from D to E is 2a as its y-coordinate is 2a.

Also the distance DG=2a.

In the problem, it is given that DG=2·DE

2a=2·DE

Cancelling 2 on both sides,

DE=a

Since DE is the horizontal distance, the x-coordinate of E is a.

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

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

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