Exploring the Segment Addition Postulate

The video tutorial explains a geometric proof involving segments. It begins by setting up the problem, stating that B is between A and C, and introduces the segment addition postulate. The instructor then demonstrates how to substitute given expressions into the equation and simplify it. The goal is to solve for X, which involves combining like terms and using properties such as subtraction and addition. The proof is completed by ensuring the final statement matches the proof statement using the symmetric property.

What is the first step in solving the given problem?

• Draw a picture of the segment.

• Copy the given values into the first statement.

• Combine like terms.

• Apply the Segment Addition Postulate.

What does the Segment Addition Postulate state?

• The quotient of the parts is equal to the whole.

• The sum of the parts is equal to the whole.

• The difference of the parts is equal to the whole.

• The product of the parts is equal to the whole.

What should you do after setting up the equation with segments?

• Subtract the smaller segment from the larger segment.

• Apply the symmetric property.

• Substitute the expressions into the segment equation.

• Combine like terms.

What is the result of combining 3x and 2x?

• 7x

• 6x

• 5x

• 4x

Which property is used when subtracting 5x from both sides of the equation?

• Subtraction Property

• Addition Property

• Division Property

• Multiplication Property

What is the next step after subtracting 5x from both sides?

• Add 40 to both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

• Subtract 40 from both sides.

What is the value of X after adding 40 to both sides?

• 10

• 20

• 30

• 50

What property is used to switch the sides of the equation to match the proof statement?

• Subtraction Property

• Symmetric Property

• Addition Property

• Transitive Property

Why is it important to match the final statement with the proof statement exactly?

• To add more steps to the proof.

• To make the equation look nicer.

• To ensure the proof is complete and correct.

• To confuse the reader.

What is the final value of X in the proof?

• 40

• 50

• 60

• 70