Question

Point P (2,5) undergoes the composition of transformations below. State the coordinates of P' and P''.

A) P'(2,5), P''(2,5)
B) P'(5,2), P''(2,5)
C) P'(2,5), P''(5,2)
D) P'(5,2), P''(5,2)

Answer 1

The coordinates of both P' and P'' are (2,5).

Step-by-step explanation:

The coordinates of point P are (2,5). Let's consider the composition of transformations:

Step 1: Rotation - The rotation doesn't change the coordinates of a point. So P' will have the same coordinates as P, which is (2,5).

Step 2: Translation - Since the translation doesn't affect the x-coordinate but adds a constant value to the y-coordinate, P' will still have (2,5) as its coordinates. Therefore, the coordinates of both P' and P'' are (2,5).