Master How to use the segment additon postulate to find the missing length of a line

The video tutorial explains the segment addition postulate, which states that if points are collinear, the sum of the distances between two pairs of points equals the distance between the outermost points. The tutorial begins with basic examples using numbers, then progresses to solving problems with variables and expressions. It concludes with real-world applications, demonstrating how to set up and solve equations using the postulate.

What does the Segment Addition Postulate state about collinear points?

• The sum of the distances between two points is always zero.

• The distance between two points is equal to the sum of the distances of the segments between them.

• The distance between two points is always less than the sum of the distances of the segments between them.

• The distance between two points is always greater than the sum of the distances of the segments between them.

If the distance from A to B is 3 and from B to C is 4, what is the distance from A to C?

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In the equation 11 + X = 28, what is the value of X?

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If GH = X + 1 and HI = X - 3, and the total distance GI is 26, what is the value of X?

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For the equation 2X + 10 + X - 4 = 21, what is the value of X?

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If LM = 8X - 14 and MN = 4X + 1, and their total is 59, what is X?

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In the equation 8Y + 4 + 4Y + 8 = 15Y - 9, what is the value of Y?

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What is the total distance if OP = 8Y + 4 and PQ = 4Y + 8, and Y = 7?

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If OP = 8Y + 4 and PQ = 4Y + 8, and the total OQ is 15Y - 9, what is the total when Y = 7?

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What is the purpose of using the Segment Addition Postulate in complex problems?

• To simplify the problem by ignoring variables.

• To find the total distance by adding segment lengths.

• To eliminate the need for algebraic equations.

• To avoid solving for unknown variables.