Angle and Segment Addition Postulate
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
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.
2.
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.
3.
FLASHCARD QUESTION
Front
If FG = x and GH = 5x, what is FH in terms of x?
Back
FH = FG + GH = x + 5x = 6x.
4.
FLASHCARD QUESTION
Front
Given FH = 4x + 8 and FG = x, find GH in terms of x.
Back
GH = FH - FG = (4x + 8) - x = 3x + 8.
5.
FLASHCARD QUESTION
Front
If m∠RST = (12x - 1)° and m∠RSU = (9x - 15)°, what is the relationship between these angles?
Back
The sum of angles RST, RSU, and UST must equal 180° if they are adjacent.
6.
FLASHCARD QUESTION
Front
Calculate m∠ABC if m∠ABD = 60° and m∠DBC = 45°.
Back
m∠ABC = m∠ABD + m∠DBC = 60° + 45° = 105°.
7.
FLASHCARD QUESTION
Front
If m∠RST = 155° and m∠RSU = 102°, what is the value of x if m∠RST = (12x - 1)°?
Back
Set 12x - 1 = 155, solve for x: 12x = 156, x = 13.
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