Trapezoid or Trapezium? and the Median.
A Trapezoid is an irregular quadrilateral with 4 unequal sides: 2 opposite parallel bases, 2 opposite non-parallel legs, 4 interior angles that equal 360 degrees, and an altitude (height) line that is the distant from one base line to the other base line at an right angle. ( Fun fact: Parallel are 2 lines of equal distant that never touch; perpendicular lines touch/intersect and form a 90 degree angle/right angle.)
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1. Watch the this video: Properties of a Trapezoid and/ or Trapezium
2. Answer the trivial math fact?
![2. Answer the trivial math fact?](https://stage.geogebra.org/resource/mc9uzvy5/S5rvFnbq2kPo1By2/material-mc9uzvy5.png)
More about trapezoids.
There can be more than one altitude/height line within a trapezoid as long as the lines form a 90 degree angle. The altitude line is used to find the area of a trapezoid.
3. Play the with the trapezoid by moving the slider and the white dots.
A regular/scalene and irregular/isosceles trapezoid
Median of Trapezoid
The Median (midline or midsegment) is a line that is half-way between the two bases. The median is the average of the 2 base lengths.
![](data:image/png;base64,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)
Perimeter of Trapezoid
The Perimeter is the sum of all 4 side lengths.
![](data:image/png;base64,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)
4. Find the median, the area , and the perimeter.
1. b = 6 , b = 4, h = 3 2. b = 4, b = 2, h = 1.3 3. b = 3, b = 2, h = 1.9 4. b = 7, b = 6, h = 2
5. Label all parts of the trapezoids.
![5. Label all parts of the trapezoids.](https://stage.geogebra.org/resource/ujteak2s/cBL744GXGQeLomyK/material-ujteak2s.png)
Create........
1. Using the numbers in question 4, create your own trapezoids; label them with the bases, legs, parallel lines, diagonals, and the altitude,