Midpoint

Front

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

Back

The midpoint M is given by M = \left(\frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2}\right).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the points (3, 9) and (-1, -5).

Back

The midpoint is (1, 2).

Tags

CCSS.HSG.GPE.B.6

Front

If M is the midpoint of AB, and A is (-4, 5) with M at (-2, 3), what are the coordinates of B?

Back

The coordinates of B are (0, 1).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The midpoint is (-3, 3).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the diagonal AC in rectangle ABCD if A is (1, 3) and C is (5, 4).

Back

The midpoint is (3, 3.5).

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the coordinates of a point given one endpoint and the midpoint?

Back

Use the formula B = (2M - A), where M is the midpoint and A is the known endpoint.

Tags

CCSS.HSG.GPE.B.6

Front

If the midpoint of a segment is (0, 0) and one endpoint is (2, 2), what is the other endpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint of the points (6, 8) and (2, 4)?

Back

The midpoint is (4, 6).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

Check if the distances from the midpoint to both endpoints are equal.

Tags

CCSS.HSG.GPE.B.6