## Geometry Basics Homework 2 Segment Addition Postulate Answer Key Introduction:

Welcome to another exciting lesson on geometry! Today, we are going to focus on an important concept in geometry, the Segment Addition Postulate. The Segment Addition Postulate is a fundamental concept that every geometry student needs to understand for further success in the subject. The homework 2 of this lesson is designed to test your understanding of this fundamental concept. Therefore, we will provide you with the answers to the Segment Addition Postulate Homework 2 to help you check your work and understand the concept better. So sit tight and read on!

### Blog Body:

The Segment Addition Postulate states that given two segments AB and BC, the length of AB + the length of BC is equal to the length of AC. This fundamental concept is essential in solving various geometrical problems.

In Homework 2, you are presented with several exercises that require you to apply the Segment Addition Postulate. In exercise 1, for instance, you are required to find the value of x, given that AB = 2x+ 3, AC = 5x – 1, and BC = x – 2. The solution to this problem is x = 6.

Exercise 2 tests your ability to use the Segment Addition Postulate to find the length of a segment. The problem requires you to find the length of a segment given that the coordinates of two points on the line segment are (-2, -4) and (6, -4). The solution to this problem is the length of the segment is 8 units.

Exercise 3 tests your ability to apply the Segment Addition Postulate to solve practical problems. The problem requires you to find the distance of a runner who ran from point A to point B, then to point C. The distance from A to B is 2 kilometers, and the distance from B to C is 1 kilometer. The solution obtained from applying the Segment Addition Postulate is the total distance of the runner is 3 kilometers.

Exercise 4 is a bit more challenging; it tests your knowledge of algebra and the Segment Addition Postulate. The question requires you to find the value of p given that AB=12p-16, AC=20p-18, and BC=8p+18. The solution is p=3.

Exercise 5 further test your knowledge of the Segment Addition Postulate by requiring you to apply the concept to solve the distance between two points on a coordinate plane. The coordinates of the two points are A(-2, 4) and B(4, -2). The solution to this problem is the distance between the two points is 12 units.

### Conclusion:

In conclusion, understanding the Segment Addition Postulate is crucial in solving various geometry problems. By going through the homework 2 of the postulate, you will develop a better understanding of the concept and apply it in solving practical problems. Understanding the Segment Addition Postulate is also a prerequisite to mastering geometry, an indispensable subject in STEM fields. Finally, the answers provided in this blog should help every geometry student improve their score on the homework and solidify their comprehension of the Segment Addition Postulate.