Finding the Area of Two-Dimensional Figures on the Coordinate Plane

This lesson teaches how to calculate the area of two-dimensional figures on a coordinate plane by determining the distance between segments. It reviews the Pythagorean theorem and its application in creating right triangles to find distances. The lesson covers calculating the area of trapezoids and squares using these methods, emphasizing common mistakes and correct procedures. By the end, students will understand how to apply these techniques to find areas accurately.

What is the formula for the area of a triangle?

• Base times height

• 1/2 base times height

• Base plus height

• Base minus height

Which theorem is used to find the distance between points on a coordinate plane?

• Binomial theorem

• Remainder theorem

• Pythagorean theorem

• Fundamental theorem of calculus

How do you calculate the area of a trapezoid?

• Base times height

• Height times base 1

• 1/2 height times (base 1 plus base 2)

• Base 1 times base 2

What is the length of base 1 in the trapezoid example?

• 4.5

• 7.3

• 11.2

• 5.0

What is the area of a square with a side length of 5 units?

• 25 square units

• 20 square units

• 15 square units

• 10 square units