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