1.3 Segment Lengths, Segment Addition Postulate, and Midpoints

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

Define midpoint.

Back

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

Front

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

Back

AB = 8.

Front

What does it mean to bisect a segment?

Back

To bisect a segment means to cut it into two congruent pieces or in half.

Front

If AB = 3 and BC = 2, what is AC?

Back

AC = AB + BC = 3 + 2 = 5.

Front

If the length of segment AB is 10, what is the length of segment BA?

Back

The length of segment BA is also 10.

Front

What is the formula to find the length of a segment given its endpoints A(x1, y1) and B(x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If point D is the midpoint of segment EF, and EF = 12, what is ED?

Back

ED = 6.

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 segment GH is bisected at point I, and GI = 4, what is the length of segment GH?

Back

GH = 2 * GI = 2 * 4 = 8.