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)

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

(5, -3)

Tags

CCSS.HSG.GPE.B.6

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}

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

8.9

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

(20, 12)

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 x-coordinate of the midpoint?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

(6, 7)

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

5

Tags

CCSS.HSG.GPE.B.7