5. Similarity and Transformations

Dilation Basics — Quiz

Test your understanding of dilation basics with 5 practice questions.

Practice Questions

Question 1

A triangle has vertices at $A(1, 2)$, $B(3, 2)$, and $C(1, 5)$. If it is dilated by a scale factor of $2$ about the point $(1, 2)$, what are the new coordinates of vertex $B'$?

Question 2

If a figure is dilated by a scale factor of $k$, and its original area is $A$, what is the area of the dilated figure?

Question 3

A triangle has an area of 12 square units. If it is dilated by a scale factor of $0.5$, what is the area of the new triangle?

Question 4

Which of the following statements accurately describes the effect of a dilation on the orientation of a geometric figure?

Question 5

If a point $P(x, y)$ is dilated about a center of dilation $C(a, b)$ by a scale factor of $k$, which formula represents the coordinates of the new point $P'$?