Distance and Midpoint Review

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

What type of segments does a midpoint create?

Back

Congruent segments.

Front

How do you calculate the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

Back

(-1, 7).

Front

If XY = 13 and YZ = 4, what is XZ?

Back

17.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

5.

Front

If the endpoints of a segment are (2, 3) and (4, 7), what is the midpoint?

Back

(3, 5).

Front

What does it mean for segments to be equidistant?

Back

It means that the segments are of equal length.

Front

What is the relationship between the midpoint and the endpoints of a segment?

Back

The midpoint is equidistant from both endpoints.