Question

Plot the points A(3,2), B(-2,2),C(-2,-2) and D(3,-2) in the cartesian plane. Join these points and name the figure so formed.

Answer 1

rectangle is the right answer

Answer 2

Answer:

The figure formed by joining the given points is a rectangle.

Step-by-step explanation:

Given the points in the cartesian plane:

$A(3,2), B(-2,2),C(-2,-2) ~\&~ D(3,-2)$

The coordinates of the points in the cartesian plane represent the x- and y-coordinates.

• The points are marked in red in the graph shown.

1. The first point $A(3,2)$ has 3 on x-axis and 2 units on y-axis.  
2. Second point $B(-2,2)$, has -2 on x-axis and 2 units on y-axis.
3. Third point $C(-2,-2)$ has -2 units on x-axis and -2 on y-axis.
4. Fourth point $D(3,-2)$ has 3 units on x-axis and -2 on y-axis.

• Joining all the points gives a quadrilateral, shown with yellow colored line in the graph.
• Both the heights along the y-axis are equal to 4 units and the lengths along the x-axis are equal to 5 units.
• Opposite sides are equal and each angle is 90°, therefore it is a rectangle.

Thus, the figure formed by joining the given points is a rectangle.