Question

Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.

Answer 1

ANSWER

B' has coordinates (16,14).

EXPLANATION

The given coordinates of square ABCD are :

A (2,7) , C (8,1),D (2,1)

In order to form a square, the coordinates of B should be: (8,7)

The mapping for dilation with a scale factor 2, about the origin is

$(x,y)\to (2x,2y)$

This implies that:

$B(8,7)\to B'(2 \times 8,2 \times 7)$

When we simplify we get:

$B(8,7)\to B'(16,14)$

Hence B' has coordinates (16,14).