Question

William starts from his home at (0,0), walks four paces towards east and 5 paces towards north. If he then returns straight back home, his journey can be traced as a _______
$\left(Take1paceas1unitonthegraph\right)$

• A. Square
• B. Triangle
• C. Rectangle
• D. Straight Line.

Answer 1

The correct option is B Triangle

First, William walks four paces to the east, stating from (0,0).

This means that he moves four units to the right of (0,0)

Tracing this movement on the graph, we find:


So, in his first stride, William reaches the point (4,0).

Next, he walks 5 paces towards the north.

This means that he moves up the graph by 5 units.

Tracing this movement on the graph, we find:


Hence, in his second stride, William reaches the point (4,5).

Now, after this, William walks straight back to his home at (0,0).

Tracing this movement on the graph, we find:


Hence, William's journey can be traced on a graph as a triangle.