Exploring Distance and Midpoint Formulas

The video tutorial covers lesson 11.5, focusing on the distance and midpoint formulas. It begins with an introduction to the lesson and materials, followed by detailed explanations of the distance and midpoint formulas. The instructor provides examples to demonstrate how to apply these formulas to solve problems. The video also includes an advanced problem involving the distance formula and concludes with a section on verifying if given points form a right triangle using the Pythagorean theorem.

What are the labels used for the two points in the distance formula?

• A1, B1 and A2, B2

• P1, Q1 and P2, Q2

• M1, N1 and M2, N2

• X1, Y1 and X2, Y2

What is the distance formula?

• √((x2 + x1) + (y2 + y1))

• √((x2 - x1) + (y2 - y1))

• √((x2 - x1)² + (y2 - y1)²)

• √((x2 + x1)² + (y2 + y1)²)

What is the first step in solving a distance formula problem?

• Add the coordinates

• Calculate the square root

• Label the points as x1, y1 and x2, y2

• Divide the coordinates by 2

What is the exact distance between the points (4, -3) and (-7, 2)?

• √50

• √25

• √146

• √121

What is the approximate distance between the points (4, -3) and (-7, 2)?

• 12.08

• 10.50

• 13.00

• 11.00

What is the midpoint formula?

• (x1 / x2) / 2, (y1 / y2) / 2

• (x1 * x2) / 2, (y1 * y2) / 2

• (x1 - x2) / 2, (y1 - y2) / 2

• (x1 + x2) / 2, (y1 + y2) / 2

What is the midpoint of the points (-3, 7) and (-1, 11)?

• (-1, 8)

• (-2, 8)

• (-1, 9)

• (-2, 9)

If one endpoint is (-2, 4) and the midpoint is (3, -3), what is the other endpoint?

• (5, -3)

• (8, -2)

• (7, -1)

• (6, -2)

What is the distance between the points (0, -4) and (-5, -2)?

• √25

• √34

• √29

• √53

Do the points (0, -4), (-5, -2), and (-2, 3) form a right triangle?

• Maybe

• No

• Yes

• Cannot be determined