Question

understanding dilations
dilate the figure by a factor of two. the origin is the poi dilation.
true or false: when you dilate a figure, the coordinates are multiplied by the scale factor.
a true
b false
did the square become bigger or smaller in the first example?
a smaller
b bigger
did the square become bigger or smaller in the second example?
a bigger
b smaller

Explanation:

First Question (True or False)

Dilation in coordinate geometry involves multiplying the coordinates of the figure's vertices by the scale factor (when the center is the origin). So when dilating a figure, coordinates are multiplied by the scale factor.

The first example has a scale factor of 2 (dilate by factor of two). A scale factor greater than 1 makes the figure larger (bigger) as each coordinate is multiplied by 2, increasing the side lengths.

For the second example (implied scale factor less than 1, as it's the opposite of scale factor >1 case), a scale factor between 0 and 1 makes the figure smaller (since coordinates are multiplied by a value less than 1, reducing side lengths).

Answer:

A. True

Second Question (First Example - Square Size)