DISTANCE AND MIDPOINT FORMULA (FLASHCARD)

Front

What is the length of the line segment joining two points?

Back

Distance

Front

What is the point that divides a line segment into two equal parts?

Back

Midpoint

Front

Calculate the distance between the points (-6,-10) and (-2,-10).

Back

d=4

Front

Find the midpoint of the line segment with endpoints (2,-1) and (-6,0).

Back

M=(-2,-\frac{1}{2})

Front

What is the distance formula?

Back

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

Front

What does the distance formula calculate?

Back

The straight-line distance between two points in a coordinate plane.

Front

If point A is at (x1, y1) and point B is at (x2, y2), how do you find the midpoint?

Back

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

Front

What is the significance of the midpoint in geometry?

Back

It represents the center point of a line segment.

Front

How do you derive the distance formula from the Pythagorean theorem?

Back

By considering the distance as the hypotenuse of a right triangle formed by the differences in x and y coordinates.

Front

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

Back

d=4