   Chapter 10.3, Problem 22E 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 17 to 22, draw an ideally placed figure in the coordinate system; then name the coordinates of each vertex of the figure.a) A trapezoidb) A trapezoid (midpoints of sides are needed)

To determine

(a)

To draw:

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

Explanation

To draw an ideal trapezoid, 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 which is smaller than the line AB.

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 c.

Let the vertical distance from point D to origin be d.

Hence, the vertices of D is c, d

To determine

(b)

To draw:

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

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