Segment and Angle Addition Postulate
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
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.
2.
FLASHCARD QUESTION
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.
3.
FLASHCARD QUESTION
Front
If AB = 8, what is the length of AC if B is the midpoint?
Back
AC = AB + BC = 8 + 8 = 16.
4.
FLASHCARD QUESTION
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.
5.
FLASHCARD QUESTION
Front
If m∠AOB = 50° and m∠BOC = 30°, what is m∠AOC?
Back
m∠AOC = m∠AOB + m∠BOC = 50° + 30° = 80°.
6.
FLASHCARD QUESTION
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.
7.
FLASHCARD QUESTION
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).
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