Question

Quadrilateral QRST is dilated by a scale factor of start fraction, 3/4 to form quadrilateral Q'R'S'T'. What is the measure of side TQ? The numbers are 30 and 15.

Answer 1

I’m missing which segment the numbers 30 and 15 label (the preimage side TQ or the dilated side T′Q′). The rule is:

- If the original side TQ = L, then the dilated side T′Q′ = (3/4)L.
- Conversely, if the dilated side T′Q′ = L′, then the original side TQ = L′ ÷ (3/4) = (4/3)L′.

So:
- If 30 is the original TQ, then T′Q′ = 30 × 3/4 = 22.5.
- If 15 is the dilated T′Q′, then TQ = 15 ÷ (3/4) = 20.

If you tell me which number labels which segment (or share the picture), I’ll give the single correct answer.