Midpoint Formula

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

The midpoint is (-1, 13).

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the points (-8, 6) and (5, -7).

Back

The midpoint is \left(-\frac{3}{2}, -\frac{1}{2}\right).

Tags

CCSS.HSG.GPE.B.6

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

The midpoint is (5, -3).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the points (-1, 9) and (7, -1).

Back

The midpoint is (3, 4).

Tags

CCSS.HSG.GPE.B.6

Front

Define the term 'midpoint' in geometry.

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in a coordinate plane?

Back

The midpoint represents the average position of two points in the coordinate plane.

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

The other endpoint is (8, 11).

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the x-coordinate of the midpoint?

Back

The x-coordinate of the midpoint is found using \frac{x₁ + x₂}{2}.

Tags

CCSS.HSG.GPE.B.6

Front

How do you find the y-coordinate of the midpoint?

Back

The y-coordinate of the midpoint is found using \frac{y₁ + y₂}{2}.

Tags

CCSS.HSG.GPE.B.6