Question

1. which of the following transformations would you use to make a figure smaller while keeping the same proportions?

a. rotation 180 degrees
b. reflection over the x - axis
c. dilation by a scale factor of 0.5
d. translation left and up

Explanation:

Step1: Analyze rotation

A 180 - degree rotation changes the orientation of a figure but not its size or proportions.

Step2: Analyze reflection

Reflection over the x - axis flips a figure over the x - axis. It does not change the size or proportions of the figure.

Step3: Analyze dilation

Dilation with a scale factor \(k\) changes the size of a figure. If \(0

Step4: Analyze translation

Translation left and up moves a figure without changing its size, shape, or proportions.

Answer:

C. Dilation by a scale factor of 0.5