Square abcd is located on a coordinate plane. the coordinates for three of the vertices are listed below.
a (2,7) , c (8,1),d (2,1)
square abcd is dilated by a scale factor of 2 with the center of dilation at the origin, to form square a’b’c’d’. what are the coordinates if vertex b’?

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

This implies that:

When we simplify we get:

Hence B' has coordinates (16,14).

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

thats not a system of equations, that is a solution