Calculating Areas of Quadrilaterals

The video tutorial explains how to find the areas of trapezoids, rhombuses, and kites in the coordinate plane. It introduces the formula for calculating the area of a rhombus and a kite using their diagonals. The tutorial also covers the method for finding the area of a trapezoid by averaging its two bases and multiplying by the height. The video provides step-by-step examples and calculations to illustrate these concepts.

What shapes are discussed for area calculation in the coordinate plane?

• Triangles, Squares, and Circles

• Pentagons, Octagons, and Decagons

• Trapezoids, Rhombuses, and Kites

• Rectangles, Parallelograms, and Hexagons

How is the area of a rhombus initially calculated?

• By dividing it into four triangles

• By using the formula for a circle

• By using the Pythagorean theorem

• By calculating the perimeter

What is the formula for the area of a rhombus or kite using diagonals?

• Length times width

• Diagonals multiplied and divided by two

• Sum of all sides

• Base times height

When calculating the area of a kite using triangles, what is needed besides the base?

• The radius

• The diagonal

• The height

• The perimeter

What is the distance between y-coordinates 6 and -8?

• 16

• 10

• 12

• 14

What is the height of a triangle with a base of 14 and area of 21?

• 4

• 3

• 5

• 6

What is the shortcut for calculating the area of a kite?

• Calculate the perimeter

• Use the Pythagorean theorem

• Add all sides and divide by four

• Multiply the diagonals and divide by two

What is the area of a kite with diagonals of 6 and 14?

• 28 square units

• 84 square units

• 21 square units

• 42 square units

What are the bases of a trapezoid?

• The non-parallel sides

• The parallel sides

• The diagonals

• The height and width

How is the height of a trapezoid determined?

• By calculating the average of the bases

• By measuring the longest side

• By using the diagonal

• By dropping a perpendicular from a vertex