Mastering the Midpoint Formula

What does the midpoint of a line segment represent?

• The point that is closest to the origin

• The point that is at the end of the segment

• The point that is farthest from the origin

• The point that divides the segment into two equal parts

Tags

CCSS.HSG.GPE.B.6

Which of the following is the correct formula for finding the x-coordinate of the midpoint?

• (x1 / x2) / 2

• (x1 * x2) / 2

• (x1 - x2) / 2

• (x1 + x2) / 2

Tags

CCSS.HSG.GPE.B.6

In the example given, what are the coordinates of the midpoint between points G(1, 2) and H(7, 6)?

• (6, 6)

• (5, 5)

• (3, 3)

• (4, 4)

Tags

CCSS.HSG.GPE.B.6

If the midpoint of segment AB is (1, 5), what are the coordinates of point A if point B is (1, 5)?

• (1, 5)

• (0, 0)

• (2, 10)

• (2, 0)

Tags

CCSS.HSG.GPE.B.6

What are the coordinates of the midpoint between points Q(1, 2) and R(5, 10)?

• (5, 10)

• (3, 6)

• (2, 4)

• (4, 8)

Tags

CCSS.HSG.GPE.B.6

Why was Joya's answer incorrect in the example given?

• She used the midpoint coordinates as if they were endpoint coordinates

• She used the wrong formula

• She did not divide by 2

• She did not add the coordinates correctly

Tags

CCSS.HSG.GPE.B.6

In the example where X is the midpoint of HJ, what are the coordinates of point J if H is (9, 5) and X is (-1, 2)?

• (4, 3.5)

• (5, 6)

• (-1, 2)

• (-11, -1)

Tags

CCSS.HSG.GPE.B.6

What is the first step in solving for an endpoint using the midpoint formula?

• Add the coordinates of the midpoint

• Multiply the coordinates of the midpoint by 2

• Divide the coordinates of the midpoint by 2

• Subtract the coordinates of the midpoint

Tags

CCSS.HSG.GPE.B.6

If M(3, -1) is the midpoint of CD and C is (1, 4), what is the x-coordinate of point D?

• 1

• 3

• 5

• 2

Tags

CCSS.HSG.GPE.B.6

If M(3, -1) is the midpoint of CD and C is (1, 4), what is the y-coordinate of point D?

• -6

• 4

• 1

• -2

Tags

CCSS.HSG.GPE.B.6