Question

1. what type of transformation is a rotation of 270 degrees counterclockwise around the origin?

a. rigid motion

b. dilation

c. reflection

d. translation

Explanation:

To determine the type of transformation for a 270° counterclockwise rotation around the origin:

• Rigid motion preserves shape and size (distance between points). Rotations are rigid motions as they don’t change side lengths or angles.
• Dilation scales (resizes) figures, which is not a rotation.
• Reflection flips over a line, not a rotation.
• Translation slides figures, not a rotation.

Thus, a 270° counterclockwise rotation is a rigid motion.

Answer:

a. Rigid motion