Question

10. A (2, 2), B(6,2) and C (6,-2) are the three vertices of a square ABCD. Plot these points and find the coordinates of the fourth vertex. ​

Answer 1

Answer:

D(2, -2)

Explanation:

Given,

ABCD is a square with three vertices:—

• A(2, 2)
• B(6, 2)
• C(6, -2)

Plot the points and find vertex D.

Recall the property of a square,

• In a square all sides are equal.

So,

The distance between AB or BC must be equal to AD or CD (see the figure).

According to the graph,

Distance between AB or BC = 4 units.

∴ Vertex D should be 4 units away from the adjacent vertex i.e., (2, -2) [In referring to the graph)