locating points and midpoints

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Find the midpoint of the segment with endpoints (1, 7) and (9, 0).

Back

(5, 3.5)

Front

What is the midpoint between (3, -1) and (8, -6)?

Back

(5.5, -3.5)

Front

Given points A(-1,2) and B(7,14), find the coordinates of point P that is 1/4 of the way from A to B.

Back

(1,5)

Front

If the midpoint is at (2, -5) and one endpoint is at (12, -5), what is the missing endpoint?

Back

(-8, -5)

Front

If one endpoint is at (5, -7) and the midpoint is at (1.5, 1), find the missing endpoint.

Back

(-2, 9)

Front

What does the midpoint represent in a line segment?

Back

The midpoint is the point that divides the segment into two equal parts.

Front

How do you determine the coordinates of a point that is a certain fraction of the way along a line segment?

Back

Use the formula: P = (1-t)A + tB, where t is the fraction, A and B are endpoints.

Front

What is the significance of the coordinates in a Cartesian plane?

Back

Coordinates represent the position of a point in relation to the x-axis and y-axis.

Front

How can you find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)