Question

Does a dilation produce a congruent figure

Answer 1

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. ... If the scale factor is 1, the figure and the image are congruent. The word "dilate" is often heard in relation to the human eye.

Answer 2

After dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.

Recall:

• When two figures are congruent, it means they have the same shape and size, whereby, all pairs of corresponding angles and sides of both figures are congruent or equal in measure.
• The image attached below shows a dilated figure.

Dilation is a transformation that enlarges a figure or reduces the figure.

After dilation, the new figure maintains the same shape of the original figure.

However, after dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.

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