Question

UV
is dilated by a scale factor of 44 to form start overline, U, prime, V, prime, end overline
U
′
V
′

. start overline, U, prime, V, prime, end overline
U
′
V
′

measures 3232. What is the measure of start overline, U, V, end overline
UV
?

Answer 1

I’m not sure I read the numbers correctly from your message. Could you confirm the scale factor and the length of U′V′? (Your text shows "scale factor of 44" and "measures 3232" — do you mean 44 and 3232, 4 and 32, 4/4 and 32, or something else?)

Method (so you can get the answer once the numbers are clear):
- If a segment UV is dilated by scale factor k to get U′V′, then length(U′V′) = k · length(UV).
- So length(UV) = length(U′V′) ÷ k.

Examples depending on interpretation:
- If k = 4 and U′V′ = 32, then UV = 32 ÷ 4 = 8.
- If k = 44 and U′V′ = 32, then UV = 32 ÷ 44 = 8/11.
- If k = 4/4 = 1 and U′V′ = 32, then UV = 32.

Tell me the exact numbers and I’ll give the precise answer.