Q6WE. Name the definition or state the... [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: Q6WE. (page 58)

Name the definition or state the theorem that justifies the statement about the diagram.
If $鈭� A B D$ and $鈭� D B E$ are complementary angles, then $m 鈭� A B D + m 鈭� D B E = 90$ .

Short Answer

Expert verified

The used definition is the definition of perpendicular lines.

Step by step solution

Step 1. Observe the given statement and figure.

The provided equation is the result of the given property of the angles.

Step 2. Identify the definition or theorem.

The observation of statement returns the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90掳.

Step 3. State whether the definition is true or not.

As the definition of perpendicular line matches with the provided statement so the definition of perpendicular lines is the required definition.

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Statement	Reasons
1. $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$	1. ?
2. $鈭� A B X 鈮�$ ?, or $m 鈭� A B X =$ ?	2. ?
3. $m 鈭� A B X + m 鈭� X B C = m 鈭� A B C$	3. ?
4. $m 鈭� A B X + m 鈭� A B X = m 鈭� A B C$ , or $2 m 鈭� A B X = m 鈭� A B C$	4. ?
5. $m 鈭� A B X = \frac{1}{2} m 鈭� A B C$	5. ?
6. $m 鈭� X B C = \frac{1}{2} m 鈭� A B C$	6. Substitution Prop. (Steps ? and ?)

91影视

Name the definition or state the theorem that justifies the statement about the diagram.
If $鈭� A B D$ and $鈭� D B E$ are complementary angles, then $m 鈭� A B D + m 鈭� D B E = 90$ .

Short Answer

Step by step solution

Step 1. Observe the given statement and figure.

Step 2. Identify the definition or theorem.

Step 3. State whether the definition is true or not.

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91影视

Name the definition or state the theorem that justifies the statement about the diagram.If 鈭�ABDand 鈭�DBEare complementary angles, then m鈭�ABD+m鈭�DBE=90.

Short Answer

Step by step solution

Step 1. Observe the given statement and figure.

Step 2. Identify the definition or theorem.

Step 3. State whether the definition is true or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Name the definition or state the theorem that justifies the statement about the diagram.
If $鈭� A B D$ and $鈭� D B E$ are complementary angles, then $m 鈭� A B D + m 鈭� D B E = 90$ .