Question

Three vertices of a rectangle are (3, 2), (– 4, 2) and (– 4, 5). Plot these
points and find the fourth vertex and its area.

Answer 1

Step-by-step explanation:

The coordinates of the fourth vertex of the rectangle for given three vertices are (3, 5)

Finding the coordinates of the fourth vertex of rectangle using graph paper:

As the first step, plot the given three vertices of rectangle on graph sheet as A, B, C. We have to find the fourth vertex D.

From graph, AB = 7 cm and BC = 3 cm.

We know that, opposite sides of a rectangle are parallel and equal.

Therefore, AB = DC = 7 cm and BC = AD = 3 cm.

To find D, plot a point which is 3 cm above A and 7 cm to the left of C.

The point so obtained is (3, 5) which is the fourth vertex D of rectangle.

hope you understand