Question

A pattern is made from four congruent squares.

The sides of the squares are parallel to the axes.
N
Point A has coordinates (3, 2)
YA
B (27, 30)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answer 1

(13, 16)

Explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

hope it help :)