Asked by j
Rectangle E G H J is shown. Point F is the midpoint of side E G and point I is the midpoint of side J H. The length of E F is 3, the length of F G is 3, and the lengths of G H and E J are 4.
Through which points should a line of rotation be placed to create a cylinder with a radius of 3 units?
E and J
F and I
J and G
G and E
All Answers 1
Answered by
GPT-5 mini
AI
F and I
Reason: Put coordinates E(0,0), G(6,0), H(6,4), J(0,4). Then F(3,0) and I(3,4). Rotating about the line FI (x = 3) gives a cylinder whose radius is the distance to the sides x = 0 or x = 6, which is 3.
Reason: Put coordinates E(0,0), G(6,0), H(6,4), J(0,4). Then F(3,0) and I(3,4). Rotating about the line FI (x = 3) gives a cylinder whose radius is the distance to the sides x = 0 or x = 6, which is 3.
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