Question

hexagon abcdef → hexagon abcdef. how can the transformation shown be described? check all that apply. □ dilation □ isometric transformation □ nonrigid transformation □ reflection □ rotation □ stretch

Explanation:

1. Dilation: Dilation is a transformation that changes the size of a figure (scaling) while keeping the shape similar. Here, the side length changes from 1 to 3 (scaling factor 3), so dilation applies.
2. Isometric transformation: Isometric transformations (rigid motions) preserve distance and shape (e.g., reflection, rotation, translation). Since the size changes, this is not isometric.
3. Nonrigid transformation: Nonrigid transformations change the shape or size (e.g., stretch, dilation). Since the hexagon’s size changes (and it’s stretched vertically), this is a nonrigid transformation.
4. Reflection: Reflection flips a figure over a line, but here the orientation and stretching suggest no reflection.
5. Rotation: Rotation turns a figure around a point, but the transformation is scaling/stretching, not rotation.
6. Stretch: A stretch (a type of nonrigid transformation) changes the size in one or more directions. The hexagon is stretched vertically (side length increases from 1 to 3 in the vertical direction), so stretch applies. Also, dilation (scaling) is a type of stretch with uniform scaling, but here it’s a stretch (and dilation as scaling).

Answer:

• dilation
• nonrigid transformation
• stretch