29.5k views
5 votes
A pattern is made from four congruent squares

A pattern is made from four congruent squares-example-1
User Polat
by
4.6k points

1 Answer

6 votes

9514 1404 393

Answer:

(13, 16)

Explanation:

Vertically, the y-coordinate of point C is midway between those of points A and B:

Cy = (Ay +By)/2 = (2 +30)/2 = 16

Point C is at the opposite corner of two squares from point B, so the x-coordinate of point C will be the same amount less than B's x-coordinate as C's y-coordinate is from B's.

Cx = Bx -(By -Cy)

Cx = 27 -(30 -16) = 27 -14

Cx = 13

The coordinates of point C are (Cx, Cy) = (13, 16).