Exploring the Line Segment Addition Postulate

What does the addition postulate state?

• The total amount is the quotient of individual parts.

• The total amount is the product of individual parts.

• The total amount is the sum of individual parts.

• The total amount is the difference of individual parts.

In the movie theater example, if tickets cost $12 and popcorn costs $6, what is the total amount?

• $16

• $22

• $20

• $18

What does it mean for points to be collinear?

• They form a square.

• They lie on different lines.

• They lie on the same line.

• They form a triangle.

If segment AB is 3 units, segment BC is 10 units, and segment AC is 13 units, are points A, B, and C collinear?

• Yes, because 3 + 10 = 13.

• No, because 3 + 10 ≠ 13.

• Yes, because 3 + 10 = 15.

• No, because 3 + 10 = 15.

If segment AB is 5 units, segment BC is 10 units, and segment AC is 13 units, are points A, B, and C collinear?

• Yes, because 5 + 10 = 15.

• No, because 5 + 10 ≠ 13.

• Yes, because 5 + 10 = 13.

• No, because 5 + 10 = 15.

In the equation 6x + 1 + 12x = 19, what is the value of x?

• 0

• 1

• 2

• 3

If ML = 9, LK = 2x - 10, and MK = x + 9, what is the value of x?

• 8

• 10

• 9

• 11

What is the total length of the segment if ML = 9, LK = 2x - 10, and MK = x + 9?

• x + 9

• 2x - 10

• 9

• x + 19

If x = 6, does the equation x + 3 + x + 14 = 13 hold true?

• No, because 6 + 3 + 6 + 14 = 13.

• Yes, because 6 + 3 + 6 + 14 = 29.

• No, because 6 + 3 + 6 + 14 = 29.

• Yes, because 6 + 3 + 6 + 14 = 13.

If the equation x + 3 + x + 14 = 13 is false, what can we conclude about points U, V, and W?

• They are not collinear.

• They form a square.

• They form a triangle.

• They are collinear.