Question

(Giving 80 points, Please do not answer if you don't know. The second and third answer are not 4 btw)

Point A is on the point −6 and Point B is on the point 0. Let's use the Ruler Postulate to find the length of AB¯¯¯.

AB=|a−b|

AB=|−6−0|

AB=|−6|

AB=6

The length of AB¯¯¯¯ is 6. We can also write this as AB=6 or mAB¯¯¯¯=6.

Find the Length of CD¯¯¯¯
Now, let's find the length of CD¯¯¯¯. Point C is on the point 4 and Point D is on the point 8.

CD=|c−d|

CD=|4−8|

CD=|−4|

CD=4

The length of CD¯¯¯ is 4. We can also write this as CD=4 or mCD¯¯¯=4

Your Turn
1. What is the length of BC¯¯¯? 4
2. What is the length of AC¯¯¯¯?
3. What is the length of AD¯¯¯¯?

Answer 1

1. BC = 4

2. AC = 10

3. AD = 14

Explanation:

Ruler Postulate

The distance between any two points on a number line is their difference.

Question 1

Given:

• Point B = 0
• Point C = 4

Therefore, using the Ruler Postulate:

⇒ BC = |b - c|

⇒ BC = |0 - 4|

⇒ BC = |-4|

⇒ BC = 4

Question 2

Given:

• Point A = -6
• Point C = 4

Therefore, using the Ruler Postulate:

⇒ AC = |a - c|

⇒ AC = |-6 - 4|

⇒ AC = |-10|

⇒ AC = 10

Question 3

Given:

• Point A = -6
• Point D = 8

Therefore, using the Ruler Postulate:

⇒ AD = |a - d|

⇒ AD = |-6 - 8|

⇒ AD = |-14|

⇒ AD = 14

Answer 2

1. 4

2. 10

3. 14

Explanation:

A = -6

B = 0

C = 4

D = 8

1. BC = |0 - 4| = 4

2. AC = |-6 - 4| = |-10| = 10

3. AD = |-6 - 8| = |-14| = 14