Question 1143287: Given: ABCDEF is a regular hexagon
Prove that adcf is a rectangle in a paragraph proof
note that the diagram is a hexagon with labels ABCDEF and starting from the top right corner is A and it continues in alphabetical order. there are two segments FD and AC. please hurry, it’s a timed test!
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
ABCDEF is a regular hexagon, so all the side lengths are the same.
The interior angles of a regular hexagon are each 120 degrees.
Triangles ABC and DEF are isosceles, because all the side lengths of the hexagon are congruent.
Angles B and E are each 120 degrees; that makes angles BAC, BCA, EDF, and EFD each 30 degrees.
And that makes angles ACD, CDF, DFA, and FAC all right angles.
And that makes ACDF a rectangle.
Note your statement of the problem says to show that ADCF is a rectangle; it is not....
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