# What is the converse of trapezoid?

## 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