   Chapter 10.CT, Problem 9CT 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

What type of quadrilateral A B C D is represented if its vertices are A 0 ,   0 , B a ,   0 , C a + b ,   c , and D b ,   c ?

To determine

To find:

The type of quadrilateral ABCD formed by the vertices A0, 0, Ba, 0, Ca+b, c, and Db, c.

Explanation

In the graph, name the origin as vertex A.

Since, the vertex A given in the problem 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.

Plot the point Db, c.

Now, consider the vertex C.

Its y-coordinate is same as y-coordinate of C

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