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The median of a trapezoid, also known as the midsegment, is a line segment that connects the midpoints of the two non-parallel sides. It is parallel to the bases of the trapezoid and its length is equal to the average of the lengths of the two bases. Specifically, if the lengths of the bases are (b_1) and (b_2), the median's length is calculated as ((b_1 + b_2) / 2). This property helps in various geometric calculations and proofs involving trapezoids.

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1w ago

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A median of a trapezoid is perpendicular to the bases true or false?

false. it is parellel to the bases


The median of a trapezoid bisects the bases of the trapezoid?

The altitude of a trapezoid bisects the bases of the trapezoid.


How do you find the value of x in a trapezoid given the median?

Given the median and trapezoid MOPN, what is the value of x?


If a segment is parallel to the bases of a trapezoid then segment is the median of the trapezoid?

If a segment is parallel to the bases of a trapezoid, it is indeed the median of the trapezoid. The median connects the midpoints of the non-parallel sides and is equidistant from both bases. Additionally, the length of the median is the average of the lengths of the two bases. Thus, it effectively bisects the trapezoid into two smaller trapezoids.


What is the average of the bases of a trapezoid?

The average of the bases of a trapezoid is the median.


Formula to find the median of a trapezoid?

To find the median of a trapezoid, you would add the lengths of the two bases of the trapezoid and then divide by 2. This will give you the median, which is the segment connecting the midpoints of the two non-parallel sides of the trapezoid.


If a segment is parallel to the bases of a trapezoid then the segment is the median of the trapezoid?

sometimes


What is Trapezoid is the segment that connects the midpoint of the legs of the trapezoid?

It is called the median.


Does the median of a trapezoid bisect the base of a trapezoid?

Only if it is an isosceles trapezoid which has one line of symmetry.


Does the median of an isosceles trapezoid create two isosceles trapezoids?

A trapezoid does not have a median since from any vertex, there is no single opposite side.


If a trapezoid has base lengths of 18 and 40 what is the length of the median?

median = 29


How do you find the median of an isosceles trapezoid?

7