2000 AMC 10 Problems/Problem 5
Problem
Points and are the midpoints of sides and of . As moves along a line that is parallel to side , how many of the four quantities listed below change?
(a) the length of the segment
(b) the perimeter of
(c) the area of
(d) the area of trapezoid
Solution
(a) Clearly does not change, as . Since does not change, neither does .
(b) Obviously, the perimeter changes.
(c) The area clearly doesn't change, as the base and height remain the same.
(d) The bases and do not change, and neither does the height, so the trapezoid remains the same.
Only changes, so .
See Also
2000 AMC 10 (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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