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The median of a trapezoid is perpendicular to its bases. True or false

User Martidis
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Answer:

True

Explanation:

The median of a trapezoid is the line segment that connects the midpoints of the two non-parallel sides of the trapezoid. It is also sometimes called the mid-segment of the trapezoid.

If we draw the median of a trapezoid and extend it to meet the two bases of the trapezoid, we will have two right triangles. The median will be the hypotenuse of both right triangles, and the bases will be the legs.

Since the median is the hypotenuse of a right triangle, and we know that the legs of a right triangle are perpendicular to each other, the median of a trapezoid is perpendicular to its bases.

User Andriy Bilous
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