Exploring Segment Addition in Geometry

What does the Segment Addition Postulate state?

• Part times part equals whole

• Whole minus part equals part

• Part equals part

• Part plus part equals whole

If B is between A and C, and AB = 5 and BC = 7, what is AC?

• 12

• 2

• 10

• 35

What is the first step in solving equations using the Segment Addition Postulate?

• Multiply both sides by the same number

• Subtract the same number from both sides

• Combine like terms

• Divide both sides by the same number

What operation must be performed to move a term across the equation line?

• Addition

• Subtraction

• Inverse operation

• Multiplication

If 3x + 12 = 5x - 2, what is the value of x?

• 7

• 5

• 2

• 3

What is a midpoint?

• A point that divides a segment into two unequal parts

• A point that is outside the segment

• A point that divides a segment into two equal parts

• A point that is at the end of a segment

If D is the midpoint of EF, and ED = 4x + 6 and DF = 7x - 9, what is the value of x?

• 7

• 5

• 9

• 3

If AB = 8x and AC = 2x + 42, and B is the midpoint, what is the value of x?

• 3

• 5

• 9

• 7

If AB = 8x and x = 3, what is the length of AB?

• 32

• 8

• 16

• 24

If AB = 24 and BC = 24, what is the length of AC?

• 48

• 12

• 24

• 36