Any would be great!

δabc was dilated from the origin by a scale factor of 2 to create δa′b′c′. which statement explains why the triangles are similar?

a. dilations preserve side length; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.

b. dilations preserve betweenness of points; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.

c. dilations preserve orientation; therefore, the corresponding angles of δabc and δa′b′c′ are congruent.

d. dilations preserve angle measure; therefore the corresponding angles of δabc and δa′b′c′ are congruent.

D

Step-by-step explanation:

A dilation transforms an object by making it larger or smaller. When you increase a pre-image to create a larger image, the dilation is called an enlargement. When you decrease the pre-image to create a smaller image, the dilation is called a reduction.

When dilating a triangle the side lengths change because the pre-image is enlarged or reduced to create the image. Therefore, the lengths of each side will change. However, the angle measures of a preimage and its image after dilation do not change (angles do not change in dilation).

with this information we can easily get rid of A & C. betweenness of points don't tell us if the shapes are congruent or not. So therefore D is the answer.

answer:

c. the third graph

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total