Question

5.) rotate △npr 90° counterclockwise about the origin. 5b.) the coordinates of n’ are: -4, -0 5c.) the length of (overline{pr}) is 2 units. the length of (overline{pr}) is units. optional level 4: a.) rotate △klm 180° origin. label the image

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Find coordinates of N

Assume the coordinates of N are $(0, 0)$ (since it is on the origin). Applying the rotation rule $(0,0)\to(0,0)$. So the coordinates of N' are $(0,0)$.

Step3: Recall property of rotation

A rotation is a rigid transformation, which preserves the lengths of line - segments.

Step4: Determine length of P'R'

Since rotation preserves lengths and the length of $\overline{PR}$ is 2 units, the length of $\overline{P'R'}$ is also 2 units.

Answer:

5b. $(0,0)$
5c. 2