Question

Rectangle PQRS will be transformed to the points P'(2,0), Q'(7,0), R'(7,-2), and S'(2,-2). What type of transformation will rectangle PQRS undergo?

A. Translation
B. Rotation
C. Reflection
D. Dilation

Answer 1

Rectangle PQRS will undergo a translation transformation by moving horizontally 2 units to the right and vertically 2 units downwards.

Step-by-step explanation:

The rectangle PQRS will undergo a translation transformation.

Translation is a transformation that moves every point of an object the same distance in the same direction. In this case, the rectangle is being moved horizontally by a distance of 2 units to the right and vertically by a distance of 2 units downwards.

This transformation is indicated by the change in coordinates of the vertices of the rectangle. The x-coordinates of P', Q', R', and S' are greater by 2 units compared to the x-coordinates of P, Q, R, and S. The y-coordinates of P', R', and S' are lesser by 2 units compared to the y-coordinates of P, Q, R, and S. And the y-coordinate of Q' remains the same as that of Q.