Question

which shape shows a dilation of figure v? justify your reasoning.
show hints
figure b; it is the same shape but a different size.
figure a; it is the same height as figure v.
figure c; it is taller than figure v.
figures a, b, and c; they are all pentagons.

Explanation:

Step1: Recall dilation definition

Dilation is a transformation that changes the size of a figure but not its shape.

Step2: Analyze options

• Option 1: Figure B is the same shape but a different size, which is the property of dilation.
• Option 2: Same height doesn't mean dilation. Dilation changes overall size proportionally.
• Option 3: Just being taller doesn't imply dilation. It should be proportionally scaled.
• Option 4: Being the same polygon type (pentagons) doesn't mean dilation.

Answer:

Figure B; It is the same shape but a different size.