Distance & Midpoint Flashcard

Front

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

Back

Midpoint = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Front

Calculate the midpoint between the points (3, -1) and (7, -5).

Back

(5, -3)

Front

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

Back

Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Front

Find the distance between the points (-5, -8) and (-1, -16).

Back

8.9

Front

Given point A(-4, 2) and midpoint M(8, 7), find the other endpoint B.

Back

(20, 12)

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

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

Back

x-coordinate = \frac{x_1 + x_2}{2}

Front

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

Back

y-coordinate = \frac{y_1 + y_2}{2}

Front

If the midpoint of a segment is (4, 5) and one endpoint is (2, 3), what is the other endpoint?

Back

(6, 7)

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

5