Finding Midpoints in Geometry

The video tutorial explains how to find the midpoint between two coordinates on the XY plane. It introduces two methods: graphing and using a formula. The formula involves averaging the x and y values of the coordinates. An example is provided to demonstrate the calculation process, followed by a correction of a mistake in plotting. The lesson concludes with a confirmation of the formula's accuracy.

What is the first step in finding the midpoint between two coordinates on the XY plane?

• Estimate visually

• Memorize the formula

• Graph the points

• Use a calculator

Which of the following is a graphical method to find the midpoint?

• Calculating averages

• Drawing a line between points

• Using a ruler

• Using graph paper

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

• (X1 + X2, Y1 + Y2)

• (X1 - X2, Y1 - Y2)

• ((X1 + X2) / 2, (Y1 + Y2) / 2)

• ((X1 * X2) / 2, (Y1 * Y2) / 2)

What is the average of the x-values in the midpoint formula?

• X1 + X2

• (X1 * X2) / 2

• (X1 + X2) / 2

• X1 - X2

What is the average of the y-values in the midpoint formula?

• Y1 + Y2

• (Y1 + Y2) / 2

• (Y1 * Y2) / 2

• Y1 - Y2

What does the midpoint formula help to find?

• The area of a triangle

• The slope of a line

• The exact center point between two coordinates

• The distance between two points

What is the midpoint between the points (1, 7) and (-3, 1) using the formula?

• (-1, 4)

• (-2, 3)

• (0, 0)

• (-5, 2)

What is the result of dividing -10 by 2 in the midpoint calculation?

• -5

• -10

• 5

• 0

What is the result of dividing 4 by 2 in the midpoint calculation?

• 4

• 3

• 2

• 1

What is the midpoint between the points (1, 7) and (1, 3)?

• (1, 4)

• (2, 5)

• (0, 5)

• (1, 5)