Maggie graphed the image of a 90 counterclockwise rotation about vertex a of . coordinates b and c of are (2, 6) and (4, 3) and coordinates b’ and c’ of it’s image are (–2, 2) and (1, 4). what is the coordinate of vertex a. (explain work)

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates

Vectors AB and AB' are perpendicular, then

Vectors AC and AC' are perpendicular, then

Now, solve the system of two equations:

Subtract these two equations:

Substitute it into the first equation:

Then

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

picture below

it would be:

c.parallelogram.