Exploring the Segment Addition Postulate with Fractions

What is the Segment Addition Postulate?

• If a segment is divided into parts, the difference of the parts is equal to the whole segment.

• If a segment is divided into parts, the quotient of the parts is equal to the whole segment.

• If a segment is divided into parts, the product of the parts is equal to the whole segment.

• If a segment is divided into parts, the sum of the parts is equal to the whole segment.

In the example with colored blocks, if the entire segment is 5 blocks long and the purple section is 3 blocks, what is the length of the remaining section?

• 4 blocks

• 3 blocks

• 2 blocks

• 1 block

If the distance from one wall to another is 300 inches and the distance from one wall to where you are standing is 200 inches, what is the distance from where you are standing to the other wall?

• 150 inches

• 100 inches

• 200 inches

• 50 inches

In a problem where EF = 5 and EG = 21, what is the length of FG?

• 16

• 17

• 18

• 19

What is the first step you should take when solving a segment addition problem?

• Check if the drawing is to scale.

• Guess the answer.

• Make a statement about the picture.

• Plug in the numbers immediately.

If EF = 10x + 10, FG = 21, and EG = 211, what is the value of x?

• 16

• 18

• 15

• 17

In a problem where EG = 23, EF = 3x - 20, and FG = 2x - 7, what is the value of x?

• 10

• 9

• 8

• 11

If EF = 3x - 20 and x = 10, what is the length of EF?

• 20

• 15

• 10

• 5

If FG = 2x - 7 and x = 10, what is the length of FG?

• 11

• 13

• 10

• 12

Why is it important to answer the specific question asked in a segment addition problem?

• To ensure you get partial credit.

• To avoid giving the wrong answer.

• To make the problem easier.

• To save time.