Chapter 4, Problem 19MCQ

(a)

To determine

Toexplain:The segments joining two points separately are parallel.

Answer to Problem 19MCQ

Yes, the segments joining two points separately are parallel.

Explanation of Solution

Given equation:

The points of first segment are $\left(-6,10\right)\text{ and }\left(6,16\right)$ .

The points of second segment are $\left(0,6\right)\text{ and }\left(12,12\right)$ .

The parallelism of the two segments can be identified by plotting these on the Cartesian co-ordinates.

  

It can be seen from the diagram that both these lines are parallel.

(b)

To determine

Toexplain:The points make the vertices of right triangle.

Answer to Problem 19MCQ

Yes, the points constitute the vertices of the right triangle.

Explanation of Solution

Given equation:

The points are $\left(0,13\right)\text{ , }\left(2,7\right)\text{and }\left(6,9\right)$ .

The vertices of the right triangle can be identified by plotting these on the Cartesian co-ordinates.

  

It can be seen from the diagram that both these three points constitute the vertices of the right triangle.