Asked by D4VD
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5.
StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction
StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction
StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction
StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
The first set: 4/6 = 6/9 = 8.5/12.5.
Reason: to test for a dilation you must form ratios of corresponding sides in the same order (e.g., each side of triangle A divided by the matching side of triangle B). (Note: 4/6 = 6/9 ≈ 0.6667 but 8.5/12.5 = 0.68, so the ratios are not all equal and the triangles are not dilations of each other.)
Reason: to test for a dilation you must form ratios of corresponding sides in the same order (e.g., each side of triangle A divided by the matching side of triangle B). (Note: 4/6 = 6/9 ≈ 0.6667 but 8.5/12.5 = 0.68, so the ratios are not all equal and the triangles are not dilations of each other.)
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