Question

Square ABCD is located on a coordinate plane. The coordinates for the three vertices are A(2,7), B(2,1), C(8,1), D(8,7). Square ABCD is dilated by a scale factor of 2 to form square A’B’C’D’. What are the coordinates of vertex D’?

Answer 1

Answer: The coordinates of vertex D is (16,14).

Explanation:

When a figure with coordinates (x,y) is dialted with scale factor k , then the coordinates of the resulting image would be :

`(x,y)\to (kx,ky)` [i.e. k is multiplied to coordinates]

Given : Square ABCD is located on a coordinate plane. The coordinates for the three vertices are A(2,7), B(2,1), C(8,1), D(8,7). Square ABCD is dilated by a scale factor of 2 to form square A’B’C’D’.

i.e. k= 2

Then, the coordinates of vertex D would be :

`(8,7)\to(2*8,2*7 )=(16,14)`

Hence, the coordinates of vertex D is (16,14).