Question

HI
is dilated by a scale factor of 22 to form start overline, H, prime, I, prime, end overline
H
′
I
′

. start overline, H, prime, I, prime, end overline
H
′
I
′

measures 58. What is the measure of start overline, H, I, end overline
HI
?

Answer 1

I’m not certain what “22” means here — could you confirm the scale factor? (Is it 2, 1/2, 22, or something else?)

Formula: H′I′ = k·HI, so HI = H′I′/k. Since H′I′ = 58:

- If k = 2 → HI = 58/2 = 29.
- If k = 1/2 → HI = 58/(1/2) = 116.
- If k = 1 → HI = 58.
- If k = 22 → HI = 58/22 = 29/11 ≈ 2.636.

Which scale factor did you mean?