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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 17 to 22, draw an ideally placed figure in the coordinate system; then name the coordinates of each vertex of the figure.

a) A parallelogram

b) A parallelogram (midpoints of sides are needed)

To determine

(a)

To draw:

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

Explanation

To draw an ideal parallelogram, 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.

Draw a line parallel to AB, since opposite sides are equal and parallel.

The length of the line is a units.

The left end point is marked as D.

Let the horizontal distance from origin to point D be b.

Let the vertical distance from point D to origin be c

To determine

(b)

To draw:

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

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