*Midpoint Formula (M1U3L13-14)

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane. It is given by: M = ((x₁ + x₂)/2, (y₁ + y₂)/2).

Front

How do you find the midpoint between (3, -1) and (8, -6)?

Back

Using the Midpoint Formula: M = ((3 + 8)/2, (-1 + -6)/2) = (5.5, -3.5).

Front

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

Back

Using the Midpoint Formula: M = ((1 + -3)/2, (9 + 5)/2) = (-1, 7).

Front

Find the midpoint of (2, -7) and (10, 1).

Back

Using the Midpoint Formula: M = ((2 + 10)/2, (-7 + 1)/2) = (6, -3).

Front

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

Back

Using the Midpoint Formula: M = ((-4 + -2)/2, (4 + 2)/2) = (-3, 3).

Front

What does the Midpoint Formula calculate?

Back

The Midpoint Formula calculates the point that is exactly halfway between two given points in a coordinate plane.

Front

If the endpoints are (x₁, y₁) and (x₂, y₂), what are the coordinates of the midpoint?

Back

The coordinates of the midpoint are ((x₁ + x₂)/2, (y₁ + y₂)/2).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it divides a line segment into two equal parts and is often used in constructions and proofs.

Front

How can you verify the midpoint of two points?

Back

You can verify the midpoint by checking that the distances from the midpoint to each endpoint are equal.

Front

What is the midpoint of the points (0, 0) and (4, 4)?

Back

Using the Midpoint Formula: M = ((0 + 4)/2, (0 + 4)/2) = (2, 2).