Q2. Complete. You may find that draw... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q2. (page 37)

Complete. You may find that drawing a diagram will help you.
If $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then _?_ role="math" $鈮�$ _?_.

Short Answer

Expert verified

If $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then $鈭� A B X 鈮� 鈭� C B X$ .

Step by step solution

Step 1. Definition of Angle bisector.

The ray, that divides an angle into two congruent adjacent angles, is defined as the bisector of an angle.

Step 2. Draw the diagram.

Draw the diagram with ray $\overset{鈫�}{B X}$ bisecting the angle $鈭� A B C$ .

Step 3. State the conclusion.

From the diagram, it can be clearly concluded that if $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then $\overset{鈫�}{B X}$ will cutwidth="52" height="20" role="math">鈭�ABC into two equal angles, that is $鈭� A B X 鈮� 鈭� C B X$ .

Therefore, if $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then $鈭� A B X 鈮� 鈭� C B X$ .

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Statement	Reasons
1. A, M, and B have coordinated a, x, and b respectively; $b > a$ .	1. ?
2. $A M = x 鈭� a; M B = b 鈭� x$	2. ?
3. M is the midpoint of $\overset{炉}{A B}$ .	3. ?
4. $\overset{炉}{A M} 鈮� \overset{炉}{M B}$ , or $A M = M B$	4. ?
5. $x 鈭� a = b 鈭� x$	5. ?
6. $2 x =$ ?	6. ?
7. $x = \frac{a + b}{2}$	7. ?

91影视

Complete. You may find that drawing a diagram will help you.
If $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then _?_ role="math" $鈮�$ _?_.

Short Answer

Step by step solution

Step 1. Definition of Angle bisector.

Step 2. Draw the diagram.

Step 3. State the conclusion.

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91影视

Complete. You may find that drawing a diagram will help you.If BX鈫�is the bisector of 鈭�ABC, then ___?___ role="math" 鈮�___?___.

Short Answer

Step by step solution

Step 1. Definition of Angle bisector.

Step 2. Draw the diagram.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Mechanics Maths

Decision Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Complete. You may find that drawing a diagram will help you.
If $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$ , then _?_ role="math" $鈮�$ _?_.