Question

what is the main characteristic of a dilation transformation?
a. it changes the size of the figure.
b. it slides the figure.
c. it rotates the figure.
d. it flips the figure.

what does a scale factor of 1 do to a figure during a dilation?
a. shrinks it by half.
b. leaves the size unchanged.
c. doubles its size.
d. triples its size.

if two figures are similar, which of the following must be true?
a. they are the same size.
b. they have the same area.
c. their corresponding angles are equal.
d. they are congruent.

Explanation:

First Question:

Dilation is a transformation that resizes a figure. Sliding is translation, rotating is rotation, and flipping is reflection. So dilation changes the size.

The scale factor in dilation determines the change in size. A scale factor of 1 means the figure's size remains the same (since multiplying by 1 doesn't change the value). A scale factor less than 1 shrinks, greater than 1 enlarges.

Similar figures have the same shape, which means corresponding angles are equal. They can be different sizes (so not same size, area, or congruent; congruent means same size and shape).

Answer:

a. It changes the size of the figure.

Second Question: