How do the areas of the parallelograms compare?

How do the areas of the parallelograms compare?

How do the areas of the parallelograms compare? The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

How do you find the area of a parallelogram with congruent triangles?

The area of a triangle with angle θ between sides a and b is . A diagonal of a parallelogram divides it into two congruent triangles, so the area of a parallelogram is twice the area of either of those triangles.

What statement proves that PQRS is a parallelogram?

To prove that PQRS is a parallelogram, we will check that side PQ is parallel to SR and that QR is parallel to PS. These slopes are the same; therefore, the lines PQ and SR are parallel.

What is the total area of the three triangles?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

What is the area of parallelogram and triangle?

If a triangle and parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of a parallelogram.

How do you calculate the area of a parallelogram?

The general formula for the area (A) of a parallelogram is base (b) times height (h), or A=b x h. For a square or rectangle, the base and the height are adjacent sides.

How do you solve area of a parallelogram?

Calculating the Area of a Parallelogram. How to find the area of a parallelogram: The area of a parallelogram can be found by multiplying the base times the height. If a parallelogram has a base of length 6 inches and a height of 4 inches, its area is 6*4=24 square inches.

What is the formula for perimeter of a parallelogram?

The formula for the perimeter of a parallelogram is (width + height) x 2, as seen in the figure below: A parallelogram’s perimeter is calculated using the same formula as a rectangle, since in both shapes the opposite sides are equal in length.

What are the requirements for a parallelogram?

A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent (or equal in measure). A quadrilateral MUST be a parallelogram if it has both diagonals bisecting each other. A quadrilateral MUST be a parallelogram if it has all of its pairs of consecutive angles supplementary.