A1 M9 Segment Addition and Midpoint

Front

What is the definition of a midpoint?

Back

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

Front

If B is the midpoint of segment AC, what is the relationship between AB and BC?

Back

AB = BC.

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

If AM = 5x + 10 and MB = 4x + 16, how do you find the value of x?

Back

Set AM equal to MB since M is the midpoint: 5x + 10 = 4x + 16.

Front

What is the value of AB if B is the midpoint of AC and AB = 8?

Back

AB = 8.

Front

If C is between A and B, which statement is correct?

Back

AC + CB = AB.

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

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

Back

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

Front

If the length of segment AB is 16 and B is the midpoint, what is the length of segment AM?

Back

AM = 8.

Front

If the coordinates of A are (2, 3) and B are (4, 7), what is the midpoint M?

Back

M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).