Midpoint

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)

Back

(1.5, -2)

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the segment with the endpoints: (6, 7) and (6, -5)

Back

(6, 1)

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint between (-4, 4) and (-2, 2)?

Back

(-3, 3)

Tags

CCSS.HSG.GPE.B.6

Front

Find the endpoint of the segment with the endpoint (-4, 5) and midpoint (7, -9).

Back

(18, 13)

Tags

CCSS.HSG.GPE.B.6

Front

Find the other endpoint of the line segment with the given endpoint (9,8) and midpoint (0,9).

Back

(-9, 10)

Tags

CCSS.HSG.GPE.B.6

Front

What does the midpoint represent in a line segment?

Back

The midpoint is the point that divides the segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

If one endpoint of a segment is (2, 3) and the midpoint is (5, 7), what is the other endpoint?

Back

(8, 11)

Tags

CCSS.HSG.GPE.B.6

Front

How do you determine if a point is the midpoint of a segment?

Back

Check if it satisfies the midpoint formula with the segment's endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

It helps in finding balance points, bisecting segments, and in coordinate geometry.

Tags

CCSS.HSG.GPE.B.6