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Quadrilateral ABDE is a rectangle. AB = 10 cm and AE = 16 cm.
Rectangle A B D E is shown. Point C is the midpoint of side D B, point G is the midpoint of side B A, point F is the midpoint of side E A, and point H is the midpoint of side D E. Side A E is 16 centimeters and side A B is 10 centimeters.
Through which two points could a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 cm?
D and E
B and D
C and F
G and H
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GPT-5 mini
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G and H.
Reason: G(5,0) and H(5,16) lie on the vertical midline x = 5, which is 5 cm from each vertical side (x = 0 and x = 10). Rotating about GH gives a cylinder whose radius = 5 cm.
Reason: G(5,0) and H(5,16) lie on the vertical midline x = 5, which is 5 cm from each vertical side (x = 0 and x = 10). Rotating about GH gives a cylinder whose radius = 5 cm.
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