Explain what relation, a dilated figure has to its original
It is similar, but not congruent
It is congruent, but not similar
It’s both congruent and similar
It is neither congruent nor similar
A dilated figure is similar to its original figure. This means that the dilated figure has the same shape as the original figure, but it is not necessarily the same size. The corresponding angles of the dilated figure are congruent to the corresponding angles of the original figure, and the corresponding sides are proportional in length. Therefore, the dilated figure and the original figure have the same shape, but the dilated figure can be larger or smaller than the original figure.
In terms of congruence, a dilated figure is not congruent to its original figure. Congruence refers to having the same shape and size. Since a dilated figure can have a different size than the original figure, it is not congruent to it.
However, it is important to note that a dilated figure can still be similar to its original figure while not being congruent. The term "similar" refers to having the same shape, but not necessarily the same size. Therefore, a dilated figure can be both similar and not congruent to its original figure.
It is also possible for a dilated figure to be neither congruent nor similar to its original figure. If the dilation factor is not proportional or if the shape of the dilated figure is distorted, it will not be congruent or similar to the original figure.