Answer :
Yes, triangle ABC is a dilation of triangle A'B'C', it is an enlargement with a scale factor of 3.
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
• The center of dilation is a fixed point in the plane.
• If the scale factor is greater than 1, the image is an enlargement (a stretch).
• If the scale factor is between 0 and 1, the image is a reduction (a shrink).
• If the scale factor is 1, the figure and the image are congruent.
Yes, it is an enlargement with a scale factor of 3.
The reason is that triangle ABC is around three times smaller than A'B'C.
hence, Yes, triangle ABC is a dilation of triangle A'B'C', it is an enlargement with a scale factor of 3.
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