Distance on the Coordinate Plane: Key Concepts and Applications

Mr. Richards teaches how to find the distance between two points on a coordinate plane using the Pythagorean theorem and the distance formula. The lesson includes real-world applications, such as mountain biking, and provides guided examples to illustrate the concepts. Students learn to calculate distances by subtracting coordinates and applying mathematical formulas.

What is the main objective of the lesson?

• To find the distance between two points on the coordinate plane

• To learn about mountain biking

• To understand the concept of angles

• To practice drawing graphs

What do the blue lines on the graph represent?

• The actual distance between two points

• The horizontal and vertical distances between two points

• The diagonal distance between two points

• The distance from the origin

How can you find the distance between two points without counting the grids?

• By adding the coordinates

• By subtracting the coordinates

• By multiplying the coordinates

• By dividing the coordinates

What type of triangle is formed by the blue and red lines?

• Isosceles triangle

• Equilateral triangle

• Right triangle

• Scalene triangle

What is the Pythagorean theorem used for in this lesson?

• To find the area of a triangle

• To find the distance between two points

• To find the perimeter of a triangle

• To find the midpoint of a line segment

How do you label the sides of a right triangle when using the Pythagorean theorem?

• x, y, and z

• a, b, and c

• p, q, and r

• m, n, and o

What is the distance formula based on?

• The area formula

• The Pythagorean theorem

• The perimeter formula

• The midpoint formula

What is the first step in using the distance formula?

• Multiplying the coordinates

• Dividing the coordinates

• Subtracting the coordinates

• Adding the coordinates

If each unit on the map represents 45 miles, how do you find the actual distance?

• Subtract 45 from the distance

• Add 45 to the distance

• Multiply the distance by 45

• Divide the distance by 45

What is the approximate distance between points (4, -4) and (-3, 2) rounded to the nearest tenth?

• 9.2

• 8.1

• 10.5

• 7.8