Question

Help worth 100 points

Answer 1

• A=(0,9)
• A'=(0,2)

Dilation scale factor:-

• y/x=k
• k=2/9

Hence he found the opposite scale factor which is for enlargement .

• Option D

Answer 2

D

Explanation:

To find the scale factor of dilation, measure the distance between one of the points and the center of dilation for both the original shape and the dilated shape, then compare.

Distance from (0, 0) to point A = 9 units

Distance from (0, 0) to point A' = 2 units

Let x be the scale factor of dilation:

⇒ 9x = 2

⇒ x = 2/9

So the scale factor of dilation that reduces ΔABC to ΔA'B'C' is
`\sf \frac29`.

Therefore, the mistake the friend made was finding the scale factor that enlarges ΔA'B'C' to ΔABC