Segment and Angle Addition Postulate

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

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

Back

If B is the midpoint of AC, then AB = BC.

Front

If AB = 8, what is the length of AC if B is the midpoint?

Back

AC = AB + BC = 8 + 8 = 16.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

If m∠AOB = 50° and m∠BOC = 30°, what is m∠AOC?

Back

m∠AOC = m∠AOB + m∠BOC = 50° + 30° = 80°.

Front

If Q is the midpoint of PR and PQ = 6x - 7, QR = 5x + 1, how do you find PR?

Back

Since Q is the midpoint, PQ = QR. Set 6x - 7 = 5x + 1 and solve for x, then find PR.

Front

What is the formula to find the length of a segment given its endpoints?

Back

The length of a segment with endpoints A(x1, y1) and B(x2, y2) is given by the formula: Length = √((x2 - x1)² + (y2 - y1)²).

Front

If the length of segment AB is 12 and point C is between A and B, what can you say about AC and CB?

Back

AC + CB = AB, so AC + CB = 12.

Front

If angle A measures 40° and angle B measures 60°, what is the measure of angle C if A and B are adjacent?

Back

m∠C = m∠A + m∠B = 40° + 60° = 100°.

Front

What does it mean for a point to be a midpoint?

Back

A midpoint divides a segment into two equal parts.