Segment Addition and Midpoint Practice

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 a midpoint of a segment.

Back

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

Front

If HJ = 7x - 27, what is the value of x when HJ = 7?

Back

x = 5.

Front

If DF = 9x - 39, what is EF when DF = 58?

Back

EF = 58.

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If AC = 22 and AB = 7, what is BC?

Back

BC = 15 (using the Segment Addition Postulate: AC = AB + BC).

Front

How do you find the length of a segment given 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 M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of complementary angles is 90 degrees.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of supplementary angles is 180 degrees.