Question

Points $A(-3,-7)$, $B(0,2)$ and $C(2,8)$ form the vertices of a triangle.

• A. False
• B. True

Answer 1

The correct option is A

False

Slope(m) of the line formed by joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

We shall find the slopes of the lines AB and BC.

Slope of AB = $\frac{2-(-7)}{0-(-3)}$ = $3$

Slope of BC = $\frac{8-2}{2-0}$ = $3$

We see that the slopes of AB and BC are the same and hence the points A,B and C lie on the same line.

Therefore points $A(-3,-7)$, $B(0,2)$ and $C(2,8)$ cannot form a triangle.

Hence the given statement is false.