Question

Which transformation maps M(3, 5) onto M'(5, 9)?

Answer 1

The transformation that maps M(3, 5) onto M'(5, 9) is a translation 2 units to the right and 4 units up.

Step-by-step explanation:

The transformation that maps point M(3, 5) onto M'(5, 9) can be described as a translation. In a translation, each point of a figure is moved the same distance in the same direction. To find the transformation, we calculate the difference in the x-coordinates and the y-coordinates separately.

Moving from point M to M', the x-coordinate increases by 2 (from 3 to 5), and the y-coordinate increases by 4 (from 5 to 9). Therefore, the transformation can be given by the equations:

• x' = x + 2
• y' = y + 4

This is a translation 2 units to the right (east) and 4 units up (north).