Calculating Distance on the Coordinate Plane

This video tutorial covers the process of finding the distance between two points on a coordinate plane. It begins with a brief introduction and instructions for note-taking. The lesson then reviews how to plot points on the coordinate plane, emphasizing the importance of starting at the origin. Two examples are provided to demonstrate the calculation of distance using the Pythagorean theorem. The video concludes with a reminder to check notes and complete checkpoint questions.

What is the origin on a coordinate plane?

• The point where the X and Y axes intersect

• The point where the X axis ends

• The point where the Y axis ends

• The point at the top right corner of the plane

In the ordered pair (-3, 5), what does the -3 represent?

• Move up 3 units

• Move right 3 units

• Move down 3 units

• Move left 3 units

How do you plot the point (6, -2) on the coordinate plane?

• Move right 6 units, then up 2 units

• Move left 6 units, then down 2 units

• Move left 6 units, then up 2 units

• Move right 6 units, then down 2 units

What is the first step in finding the distance between two points?

• Connect the points with a straight line

• Plot the points on the coordinate plane

• Count the squares between the points

• Draw a right triangle

What should you use to connect the points on the coordinate plane?

• A ruler

• A compass

• A protractor

• A straight edge

In the first example, what is the length of the horizontal leg of the right triangle?

• 8 units

• 15 units

• 13 units

• 9 units

What is the formula used to find the distance between two points?

• Distance = a^2 + b^2

• Distance = √(a^2 - b^2)

• Distance = a^2 - b^2

• Distance = √(a^2 + b^2)

In the second example, what is the length of the vertical leg of the right triangle?

• 9 units

• 10 units

• 6 units

• 8 units

What is the hypotenuse of a right triangle?

• The longest side opposite the right angle

• The shortest side

• The side adjacent to the right angle

• The side opposite the smallest angle

What is the final step in finding the distance between two points?

• Count the squares between the points

• Plot the points on the coordinate plane

• Draw a right triangle

• Take the square root of the sum of the squares of the legs