What is the converse of trapezoid?

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What is the converse of trapezoid?

THEOREM: (converse) If a trapezoid has congruent diagonals, it is an isosceles trapezoid. THEOREM: If a quadrilateral is an isosceles trapezoid, the opposite angles are supplementary. THEOREM: (converse) If a trapezoid has its opposite angles supplementary, it is an isosceles trapezoid.

What is trapezoid Midsegment theorem?

The trapezoid midsegment theorem asserts that the length of a trapezoid’s midsegment is the same as the sum of the bases divided by 2.

Why is the formula for the area of a trapezoid?

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from exactly the same “stuff” as the trapezoid, that’s the area of the trapezoid, too.

How do you find the dimensions of a trapezoid?

Its length is equal to the average lengths of the bases (base1 + base2)/2….TRADITIONAL FORMULA

  1. The BASES are the two (2) parallel sides.
  2. The LEGS are the two (2) non-parallel sides.
  3. The HEIGHT is the distance at right angles from one base to the other base.

How to find the area of a trapezoid with a=B?

You can notice that for a trapezoid with a = b (and hence c = d = h), the formula gets simplified to A = a * h, which is exactly the formula for the area of a rectangle. How to find the perimeter of a trapezoid? You can also use the area of a trapezoid calculator to find the perimeter of this geometrical shape.

What is a trapezoid?

What is a Trapezoid? What is a Trapezoid? A trapezoid is a quadrilateral with one pair of parallel sides. So, this four-sided polygon is a plane figure and a closed shape. It has four line segments and four interior angles. The parallel sides are the trapezoid’s two bases; the other two sides are its legs.

How do you find the altitude of a trapezoid?

Usually the trapezoid is presented with the longer parallel side — the base — horizontal. A perpendicular line from the base to the other parallel side will give you the trapezoid’s height or altitude. What is an average in mathematics?

How do you find the second base of a trapezoid?

Subtract the values of a, c, and d from the trapezoid perimeter to find the length of the second base: b = P – a – c – d = 25 – 4 – 12 – 7.325 = 1.675 cm Finally, apply the formula for the area of a trapezoid: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm²