As students, we all know how important it is to understand the basics of geometry. One such concept is the Segment Addition Postulate, which states that if A, B, and C are collinear points, then AB + BC = AC. In this article, we will discuss the answer key to Unit 1 Homework 2 Segment Addition Postulate.
What is Segment Addition Postulate?
Before we dive into the answer key, let’s first understand what the Segment Addition Postulate is. In simple terms, it is a rule that tells us how to add two or more line segments together. It states that if we have three collinear points, then the sum of the lengths of the two smaller line segments is equal to the length of the larger line segment.
Now that we have a basic understanding of the Segment Addition Postulate, let’s take a look at the answer key to Unit 1 Homework 2. The homework consists of several problems that require the application of this postulate. In problem 1, we are given three collinear points A, B, and C. The length of AB is given as 4x, the length of BC is given as 6x, and the length of AC is given as 22. Using the Segment Addition Postulate, we can set up an equation as follows: 4x + 6x = 22. Solving for x, we get x = 2. The length of AB is therefore 8, and the length of BC is 12. Problem 2 is similar to problem 1, except that we are given the length of AB as 14, and the length of BC as 2x + 10. Using the same equation as before, we can set up 14 + 2x + 10 = 22, and solving for x, we get x = -1. The length of AB is 14, and the length of BC is 8.
In conclusion, understanding the Segment Addition Postulate is crucial in solving geometry problems, and the Unit 1 Homework 2 provides a great opportunity to practice this concept. By following the answer key provided in this article, students can ensure that they are on the right track in their learning journey.
To learn more about the Segment Addition Postulate and other geometry concepts, refer to the following resources: – Geometry: Concepts and Applications by Glencoe McGraw-Hill – Khan Academy: Geometry – Math is Fun: Geometry