Midpoint and Distance Review

Front

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

Back

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

Front

How do you find the y-coordinate of the midpoint of a line segment?

Back

Add the y-coordinates of the endpoints and divide by 2: \frac{y_1 + y_2}{2}

Front

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

Back

Midpoint = (1, 2)

Front

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

Back

Midpoint = (3, 4)

Front

If B is the midpoint of AC, what can you conclude about segments AB and BC?

Back

AB = BC

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

Calculate the distance between the points (1,2) and (4,6).

Back

Distance = 5

Front

What does it mean for a point to be the midpoint of a segment?

Back

It divides the segment into two equal parts.

Front

If the coordinates of the endpoints are (a,b) and (c,d), what is the formula for the x-coordinate of the midpoint?

Back

x-coordinate of Midpoint = \frac{a + c}{2}

Front

If the coordinates of the endpoints are (a,b) and (c,d), what is the formula for the y-coordinate of the midpoint?

Back

y-coordinate of Midpoint = \frac{b + d}{2}