Consider the points

MATHEMATICS · Multi-part · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

Consider the points

M(-4,2)

N(-4,-3)

and

O(3,-3)

. (i) Plot the three points and join them to form

\triangle MNO

. (ii) Using the coordinates, find the lengths of the two perpendicular sides of the triangle. (iii) Calculate the area of

\triangle MNO

. (iv) Identify the quadrant or axis on which each vertex of the triangle lies.