1.2/3 - Segment Addition Postulate and Midpoint

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

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

Back

A midpoint divides a segment into two equal parts, making the two segments congruent.

Front

If J is the midpoint of segment DK, what can be said about segments DJ and JK?

Back

Segments DJ and JK are congruent, meaning DJ = JK.

Front

How do you find the length of a segment if you know the coordinates of its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

If B is the midpoint of AC and AC = 16, what is the length of AB?

Back

AB = 8, since the midpoint divides the segment into two equal parts.

Front

What is the relationship between the lengths of segments created by a midpoint?

Back

The lengths of the segments created by a midpoint are equal.

Front

If T is the midpoint of segment SU and SU = 10, what is the length of ST?

Back

ST = 5, as T divides SU into two equal segments.

Front

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

Back

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

Front

If the length of segment AB is 12 and B is the midpoint, what is the length of segment BA?

Back

BA = 12, as the segments are equal.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.