Question

if a figure is rotated 90 degrees clockwise, what happens to a point at (3,2)? a. it moves to (3, - 2). b. it moves to (2, - 3). c. it moves to (-3,2). d. it moves to (-2,3). which transformation keeps the figures proportions but changes its size? a. translation b. dilation c. reflection d. rotation

Explanation:

Step1: Recall 90 - degree clockwise rotation rule

The rule for a 90 - degree clockwise rotation of a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply the rule to the point $(3,2)$

For the point $(3,2)$, when rotated 90 degrees clockwise, $x = 3$ and $y = 2$. Using the rule $(x,y)\to(y, - x)$, we get $(2,-3)$.

Step3: Recall transformation properties

Translation moves a figure without changing its size, shape or orientation. Reflection flips a figure over a line. Rotation turns a figure around a point. Dilation changes the size of a figure while keeping its shape (proportions) the same.

Answer:

1. b. It moves to $(2, - 3)$.
2. b. Dilation