Question

the figure below is translated right 2 units and then rotated 180° clockwise. what are the coordinates of the image of point r after these transformations?

Explanation:

Step1: Determine original coordinates

The original coordinates of point R are $(0,5)$.

Step2: Perform translation

Translating right 2 units means adding 2 to the x - coordinate. So the new coordinates after translation are $(0 + 2,5)=(2,5)$.

Step3: Perform rotation

The rule for a 180 - degree clockwise rotation about the origin is $(x,y)\to(-x,-y)$. For the point $(2,5)$ after rotation, we get $(- 2,-5)$.

Answer:

$(-2,-5)$