Distance and Midpoint Formula Challenge

The video tutorial covers the midpoint and distance formulas. It begins with an introduction to these formulas, explaining how to find the midpoint by averaging the x and y coordinates of two points. The distance formula is introduced, but the instructor prefers using a graphical method to find distances. Several examples are provided to illustrate the application of these formulas, including finding midpoints and endpoints, and calculating distances using both the formula and a graph.

What page is the midpoint and distance formula actually on?

• Page 10

• Page 8

• Page 7

• Page 9

What is the formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

• (x1 + x2, y1 + y2)

• ((x1 + x2) / 2, (y1 + y2) / 2)

• (x1 - x2, y1 - y2)

• ((x1 - x2) / 2, (y1 - y2) / 2)

What is the x-coordinate of the midpoint between points (-2, 3) and (-4, 2)?

• -4

• -1

• -2

• -3

What is the y-coordinate of the midpoint between points (-2, 3) and (-4, 2)?

• 2.5

• 3.5

• 1.5

• 4.5

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• (x2 - x1) + (y2 - y1)

• sqrt((x1 - x2)^2 + (y1 - y2)^2)

• (x1 - x2) + (y1 - y2)

If one endpoint of a line segment is (5, -3) and the midpoint is (2, 4), what is the x-coordinate of the other endpoint?

• 4

• -1

• 1

• 3

If one endpoint of a line segment is (5, -3) and the midpoint is (2, 4), what is the y-coordinate of the other endpoint?

• 11

• 9

• 7

• 5

What is the distance between the points (2, 3) and (4, -1) using the Pythagorean theorem?

• 4.5

• 5

• 5.5

• 4

What is the length of the side of the right triangle formed by the points (2, 3) and (4, -1) that runs horizontally?

• 4

• 3

• 2

• 5

What is the length of the side of the right triangle formed by the points (5, -3) and (2, 4) that runs vertically?

• 8

• 7

• 9

• 6