Question

Is triangle A'B'C' a dilation of triangle ABC? Explain.

Yes, it is an enlargement with a scale factor of 3.

Yes, it is an enlargement with a scale factor of Eight-thirds.

No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.

Answer 1

C

Explanation:

Answer 2

Answer: C) No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Explanation:

We know that in dilation , to find the points of the image are moved away from the center of dilation proportionally.

Let us assume that Δ A'B'C' a dilation of ΔABC.

Therefore, we have

`(PA')/(PA) =(PC')/(PC)`

⇒
`(2+4)/(2) =(3+5)/(3)`

⇒
`3=(8)/(3) ..............` →
`which`
`is`
`not`
`possible`

Hence, Δ A'B'C' is not a dilation of ΔABC.