Finding the Midpoint

Front

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

Back

The midpoint M is given by M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between the points (4, 6) and (8, 10).

Back

The midpoint is (6, 8).

Tags

CCSS.HSG.GPE.B.6

Front

What is the x-coordinate of the midpoint between (a, b) and (c, d)?

Back

The x-coordinate is \frac{a + c}{2}.

Tags

CCSS.HSG.GPE.B.6

Front

What is the y-coordinate of the midpoint between (a, b) and (c, d)?

Back

The y-coordinate is \frac{b + d}{2}.

Tags

CCSS.HSG.GPE.B.6

Front

If the midpoint is (0, 0) and one endpoint is (2, 4), what is the other endpoint?

Back

The other endpoint is (-2, -4).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between (-1, 2) and (3, 4).

Back

The midpoint is (1, 3).

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the line segment connecting (5, 5) and (5, 15)?

Back

The midpoint is (5, 10).

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints are (x1, y1) and (x2, y2), how do you find the midpoint?

Back

Add the x-coordinates and divide by 2 for the x-coordinate of the midpoint, and do the same for the y-coordinates.

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the segment connecting (10, 20) and (30, 40)?

Back

The midpoint is (20, 30).

Tags

CCSS.HSG.GPE.B.6

Front

To find the midpoint, you add together the endpoint y values and divide by _______

Back

two.

Tags

CCSS.HSG.GPE.B.6