Question

consider the original skiers skis, which represent parallel lines. do the skis remain parallel after:
yes no any dilation with a scale factor greater than 0?
yes no any horizontal or vertical reflection?
yes no any horizontal or vertical translation?
yes no any rotation?

Explanation:

Step1: Analyze dilation

Dilation is a transformation that changes the size of a figure but not its shape. Parallel lines remain parallel after dilation with a scale factor greater than \(0\).

Step2: Analyze reflection

Reflection is a transformation that flips a figure over a line. Parallel lines remain parallel after horizontal or vertical reflection.

Step3: Analyze translation

Translation is a transformation that slides a figure. Parallel lines remain parallel after horizontal or vertical translation.

Step4: Analyze rotation

Rotation is a transformation that turns a figure around a point. Parallel lines remain parallel after any rotation.

Answer:

Yes (for dilation with a scale factor greater than \(0\)), Yes (for any horizontal or vertical reflection), Yes (for any horizontal or vertical translation), Yes (for any rotation)