   Chapter 10.3, Problem 17E 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 squareb) A square (midpoints of sides are needed)

To determine

(a)

To draw:

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

Explanation

To draw an ideal square, 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.

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

Let the endpoint of this line be vertex C.

The vertical distance from B to C is a, since all sides are equal in square.

So, its y-coordinate is a.

B and C lies on the same x-point.

So, x-coordinate is a.

Vertex B has coordinates a, a

To determine

(b)

To find:

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

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