Exploring Distance and Midpoint Formulas

The video tutorial covers the distance and midpoint formulas, providing detailed explanations and examples for each. It begins with an introduction to the concepts, followed by a step-by-step guide on using the distance formula to calculate the distance between two points. The midpoint formula is then explained, including how to find the midpoint of a line segment and how to determine missing endpoints. The tutorial concludes with algebraic practice problems to reinforce the concepts learned.

What is the first step in using the distance formula?

• Multiply the coordinates

• Simplify and subtract the values inside the parentheses

• Add the coordinates

• Square the differences of the coordinates

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

• 3√5

• √45

• 5√3

• √50

What is the final step in simplifying the distance formula?

• Subtract the squared values

• Take the square root of the sum

• Add the squared values

• Multiply the squared values

How do you find the x-coordinate of the midpoint between two points?

• Subtract the x-coordinates and divide by 2

• Divide the x-coordinates by 2

• Multiply the x-coordinates and divide by 2

• Add the x-coordinates and divide by 2

What is the midpoint of the points (7, -5) and (9, -1)?

• (8, -3)

• (9, -3)

• (8, -2)

• (7, -3)

What is the visual method for finding the midpoint?

• Drawing a line and finding the sum of the coordinates

• Drawing a line and finding the average of the coordinates

• Drawing a line and finding the midpoint visually

• Drawing a line and finding the difference of the coordinates

If the midpoint M is (-1, 2) and one endpoint B is (3, -5), what is the other endpoint A?

• (-2, 6)

• (-5, 9)

• (-3, 7)

• (-4, 8)

What is the formula method for finding the other endpoint when given the midpoint and one endpoint?

• Multiply the coordinates of the midpoint by 2

• Use the midpoint formula in reverse

• Add the coordinates of the midpoint to the given endpoint

• Subtract the coordinates of the midpoint from the given endpoint

In the algebra practice problem, if XP is 8x - 2 and PY is 12x - 30, what is the value of x?

• 8

• 14

• 12

• 10

What should you do first when solving a geometry problem with words and no picture?

• Guess the answer

• Write down the formulas

• Draw a picture

• List the given information