Question

Which graph shows a dilation?

Answer 1

Answer:

The third one.

Explanation:

A dilation is a shrink or a stretch of a figure.  

In a dilation, all sides either increase or decrease by the same scale factor.  Additionally, in a dilation the angle measures of the figure do not change.

In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image.  This is not a dilation.

In the second figure, the angles are noticeably different; again, not a dilation.

In the fourth figure, much like the second figure, the angles are noticeably different.  This is not a dilation.

In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long.  Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.  

The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long.  This is a dilation by a factor of 3.

Answer 2

Answer:

THE THIRD OPTION

Step-by-step explanation:

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