Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q2 (page 46)

State which definition, postulate, or theorem justifies the statement about the diagram.

If ∠1≅∠2, then AD→ is the bisector of ∠BAC.

Short Answer

Expert verified

The angle bisector theorem justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes a triangle ABC and ∠1≅∠2.

02

Step 2. State the angle bisector theorem.

The theorem states that if a line bisects an angle of a triangle, then that line divides the opposite side of that angle into two segments proportional to other two sides of the triangle.

03

Step 3. State the conclusion.

Considering the given diagram and the statement: “if ∠1≅∠2then AD→is the bisector of ∠BAC”.

Therefore, the statement about the diagram is justified by the angle bisector theorem.

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

State the hypothesis and the conclusion of each conditional.

If , then .

State which postulate, definition, or theorem justifies the statement about the diagram.

m∠AEB+m∠BEC=m∠AEC

State which postulate, definition, or theorem justifies the statement about the diagram.

If E is the midpoint of AF¯, then AE=12AF.

Provide a counterexample to show that each statement is false. You may use words or draw a diagram.

If , then

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

P is the midpoint ofGH¯ implies that GH=2PG.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free