Question

Three vertices of a rectangle are(3,2).(-4, 2) and (-4,5). Plot these points and find the
coordinates of 4th vertex. Also find its area​

Answer 1

• 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.

Answer 2

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.