Distance on the Coordinate Plane

This video tutorial covers the concept of finding the distance between two points on a coordinate plane. It introduces the distance formula and demonstrates its application through examples, including the use of the Pythagorean theorem. The lesson includes a real-world example to illustrate practical application and concludes with a final example to reinforce understanding.

What is the main objective of this lesson?

• To find the area of a triangle on the coordinate plane

• To find the slope of a line on the coordinate plane

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

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

What is the vocabulary word introduced in this lesson?

• Midpoint formula

• Slope formula

• Distance formula

• Area formula

Which theorem is used to find the distance between two points in the first example?

• Pythagorean theorem

• Midpoint theorem

• Area theorem

• Slope theorem

What is the value of the hypotenuse when the legs are 5 and 6 units?

• 8.4 units

• 8.1 units

• 7.8 units

• 7.1 units

What is the formula for finding the distance between two points (X1, Y1) and (X2, Y2)?

• D = (X2 * X1) + (Y2 * Y1)

• D = √((X2 - X1)^2 + (Y2 - Y1)^2)

• D = (X2 - X1) + (Y2 - Y1)

• D = (X2 + X1) / 2 + (Y2 + Y1) / 2

What is the distance between the points (1, 2) and (6, 6) using the distance formula?

• 7.4 units

• 8.4 units

• 6.4 units

• 5.4 units

In the real-world example, what does each unit on the map represent?

• 20 miles

• 25 miles

• 15 miles

• 10 miles

Using the Pythagorean theorem, what is the distance in miles between the boat at (4, 8) and the sunken ship at (-3, 7)?

• 120 miles

• 142 miles

• 130 miles

• 140 miles

Using the distance formula, what is the distance between the boat at (4, 8) and the sunken ship at (-3, 7)?

• 6.1 units

• 7.1 units

• 8.1 units

• 9.1 units

What is the distance between the points (5, 4) and (-3, -2) using the distance formula?

• 10.2 units

• 9.2 units

• 8.2 units

• 7.2 units