   Chapter 10.3, Problem 18E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 17 to 22, draw an ideally placed figure in the coordinate system; then name the coordinates of each vertex of the figure.a) A rectangleb) A rectangle (midpoints of sides are needed)

To determine

(a)

To draw:

An ideal rectangle in the coordinate system and name the coordinates of each vertex.

Explanation

To draw an ideal rectangle, the following steps are followed.

Consider the origin.

Let it be vertex A.

The coordinates of vertex A is 0, 0.

Draw a line of a units from A to the right.

Let the endpoint of the line be vertex B.

Here, x-coordinate is a, since the horizontal length of the line AB is 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.

In rectangle opposite sides are equal.

Now, from B draw a line upwards with b units.

Let the endpoint of this line be vertex C.

The vertical distance from B to C is b.

So, its y-coordinate is b.

B and C lies on the same x-point.

So, x-coordinate is a.

Vertex C has coordinates a, b

To determine

(b)

To draw:

An ideal rectangle with midpoints of sides in the coordinate system and name the coordinates of each vertex.

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