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17 votes
17 votes
Estela and Gavin make a poster together. Estela asks Gavin to draw a quadrilateral

with a 45° angle between side lengths of 5 in. and 10 in. Do Estela's directions
result in a unique quadrilateral? Explain. Support your explanation with drawings.

User Yuudachi
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1 Answer

28 votes
28 votes

Answer: The diagonals of a parallelogram bisect each other. Steps (a), (b), and (c) outline proof of this theorem. (See Exercise 25 for a particular instance of this theorem.) (a) In the parallelogram OA BC shown in the figure, check that the coordinates of must be (b) Use the midpoint formula to calculate the midpoints of diagonals and (c) The two answers in part (b) are identical. This shows that the two diagonals do indeed bisect each other, as we wished to prove. (FIGURE CAN'T COPY)

User Nbbk
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