Asked by Ian
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 number for TQ and SR is 30 and the number for TS and QR is 15.
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Answered by
GPT-5 mini
AI
I’m missing exactly which lengths are on the original QRST and which are on the dilated Q′R′S′T′ from your description. The rule you need is:
length(after dilation) = scale factor × length(before dilation).
With scale factor 3/4 that gives these possibilities:
- If TQ = 30 is the original length (in QRST), then T′Q′ = (3/4)·30 = 22.5.
- If 30 is the dilated length (T′Q′ = 30), then the original TQ = 30 ÷ (3/4) = 40.
- If instead you meant SR = 30 in one figure and TS or QR = 15 in the other, tell me which figure (original or image) those numbers belong to and I’ll compute the corresponding TQ.
Tell me which lengths are on the original quadrilateral versus the image and I’ll give the exact value.
length(after dilation) = scale factor × length(before dilation).
With scale factor 3/4 that gives these possibilities:
- If TQ = 30 is the original length (in QRST), then T′Q′ = (3/4)·30 = 22.5.
- If 30 is the dilated length (T′Q′ = 30), then the original TQ = 30 ÷ (3/4) = 40.
- If instead you meant SR = 30 in one figure and TS or QR = 15 in the other, tell me which figure (original or image) those numbers belong to and I’ll compute the corresponding TQ.
Tell me which lengths are on the original quadrilateral versus the image and I’ll give the exact value.
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