Segment & Angle Addition, and Midpoint

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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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
Define Midpoint.
Back
The midpoint of a segment is the point that divides the segment into two equal parts.
3.
FLASHCARD QUESTION
Front
How do you find the midpoint of two points (x1, y1) and (x2, y2)?
Back
Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).
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 RT = 36 and RT is divided into segments RS and ST, how do you express this mathematically?
Back
RS + ST = RT, so RS + ST = 36.
6.
FLASHCARD QUESTION
Front
What is the formula to find the length of a segment given its endpoints?
Back
Length = √((x2 - x1)² + (y2 - y1)²).
7.
FLASHCARD QUESTION
Front
If HJ = 7x - 27 and HJ = 7, how do you solve for x?
Back
Set 7x - 27 = 7, then solve for x: 7x = 34, x = 34/7.
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