Question

which could a dilation result in? select all that apply.
□ a figure getting smaller
□ a figure moving to the left
□ a figure flipping upside down
□ a figure getting larger
□ a figure turning about a point

Explanation:

Step1: Recall Dilation Definition

Dilation is a transformation that changes the size of a figure (scaling) but not its shape. It uses a scale factor \( k \). If \( 0 < k < 1 \), the figure gets smaller; if \( k > 1 \), the figure gets larger. It does not involve translation (moving left/right/up/down), reflection (flipping), or rotation (turning about a point).

Step2: Analyze Each Option

• "a figure getting smaller": Valid (scale factor \( 0 < k < 1 \)).
• "a figure moving to the left": Invalid (dilation is not translation).
• "a figure flipping upside down": Invalid (dilation is not reflection).
• "a figure getting larger": Valid (scale factor \( k > 1 \)).
• "a figure turning about a point": Invalid (dilation is not rotation).

Answer:

• a figure getting smaller
• a figure getting larger