Question

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two triangles? ​

Answer 1

An enlargement & 2

Explanation:

Answer 2

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

`(3)/(4)=0.75`

So,

`0<(3)/(4)<1`

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.