Question

A triangle has vertices A( -3, 4), B(6, 4) and C(2, -3). The triangle is translated 4 units down and then rotated 90° clockwise. What will be the coordinates of A’’ after both transformations?

Answer 1

The coordinates of point A after both transformations becomes (0, 3)

Explanation:

Translation 4 units down is equivalent to -4 units in the y direction, therefore, we have;

A(-3, 4), B(6, 4), and C(2, -3) becomes

A(-3, 4 - 4), B(6, 4 - 4), and C(2, -3 - 4) which is A(-3, 0), B(6, 0), and C(2, -7)

Rule on operation on coordinates due to rotation of a triangle 90° clockwise is as follows;

For vertex coordinate, (x, y), we change it to (y, -x)

Therefore, we have the coordinates of the point A(-3, 0) after a rotation of 90° clockwise becomes A(0, 3).