Geometry Concepts: Kites and Trapezoids

This video tutorial covers lesson 7-3 on finding areas of trapezoids and kites. It begins with an introduction to the topic, followed by an example involving the change in shape of a basketball key. The video then analyzes a student's incorrect strategy for finding the area of a trapezoid and provides the correct method using decomposition. It also explains how to find the area of a kite using similar techniques. The lesson includes practice problems and concludes with a summary and preview of the next lesson on polygons.

What significant change was made to the European basketball key in 2010?

• It was changed from a rectangle to a triangle.

• It was changed from a rectangle to a circle.

• It was changed from a trapezoid to a rectangle.

• It was changed from a square to a trapezoid.

Why is multiplying the base by the height not a valid method for finding the area of a trapezoid?

• It only calculates the area of a triangle.

• It only calculates the area of a square.

• It only calculates the area of a rectangle or parallelogram.

• It only calculates the area of a circle.

What additional shapes must be considered when calculating the area of a trapezoid?

• Hexagons

• Triangles

• Squares

• Circles

How can you decompose a trapezoid to find its area?

• Into two hexagons

• Into a square and a triangle

• Into a rectangle and two triangles

• Into two circles

What is the formula for the area of a trapezoid using its bases and height?

• Base1 * Base2 * Height

• (Base1 - Base2) * Height

• Base1 + Base2 + Height

• (Base1 + Base2) / 2 * Height

What is a kite in geometric terms?

• A quadrilateral with two pairs of adjacent sides equal in length

• A quadrilateral with all sides equal

• A quadrilateral with no equal sides

• A quadrilateral with opposite sides equal

How can you find the area of a kite?

• By dividing it into two rectangles

• By dividing it into two squares

• By dividing it into four triangles

• By dividing it into two circles

What is the area of a kite with a base of 10 and height of 5 for each triangle?

• 75

• 100

• 25

• 50

What should you do if the area of the kite is greater than the available cloth?

• Use more cloth

• Use a different shape

• Use a larger kite

• Use a smaller kite

What is the next topic after learning about trapezoids and kites?

• Finding areas of squares

• Finding areas of polygons

• Finding areas of triangles

• Finding areas of circles