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Polygon ABCDEF is a hexagon. Which of the following geometric statements are true based on how the image is marked? Options are shown below.

a) BC = 5 cm
b) EF = 5 cm
c) AB = 12 cm
d) ∠ABC = 70°
e) ∠ABF = 70°

1 Answer

3 votes

Final answer:

Without a visual reference for polygon ABCDEF, the provided information does not allow us to confidently verify the lengths of sides BC or EF, or the angles at ABC or ABF. We can deduce that AB = 12 cm based on the principle that a straight-line distance can be approximated using the length of an arc in a small section of a circle.

Step-by-step explanation:

In evaluating which geometric statements are true for polygon ABCDEF without a visual reference, it's essential to rely on given information or common geometric principles. The provided information is insufficient to determine the exact lengths and angles of the hexagon ABCDEF.

For instance, stating BC = 5 cm or EF = 5 cm would require specific measurement information that isn't provided. Additionally, determining if ∠ABC = 70° or ∠ABF = 70° would also demand angle measurements or additional context such as congruent angles or triangles, which isn't present in the information provided. However, we can deduce that AB = 12 cm given that it's a straight-line distance in a small part of a greater circle and can be approximated as c≈ c' from the information in the reference.

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