Chapter 3: Q28. (page 115)

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

$A E + E C = A C$ .

Short Answer

Expert verified

The postulate that justifies the given statement is the Segment Addition Postulate.

Step by step solution

Step 1. Find the suitable line segments.

Observe that the three points A,E, C are collinear, and E lies between the line joining of Aand C .

Step 2. Determine the theorem or postulate that can be used.

Postulate 2, the Segment Addition Postulate, states that if B is between A and C, then $A B + B C = A C$ .

Step 3. Use the postulate.

By using segment addition postulate, the statement $A E + E C = A C$ is justified_.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

$A E + E C = A C$ .

Short Answer

Step by step solution

Step 1. Find the suitable line segments.

Step 2. Determine the theorem or postulate that can be used.

Step 3. Use the postulate.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.AE+EC=AC.

Short Answer

Step by step solution

Step 1. Find the suitable line segments.

Step 2. Determine the theorem or postulate that can be used.

Step 3. Use the postulate.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

$A E + E C = A C$ .