Q8 State which postulate, definitio... [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: Q8 (page 46)

State which postulate, definition, or theorem justifies the statement about the diagram.
$B D + D C = B C$

Short Answer

Expert verified

The Midpoint Theorem justifies the statement about the diagram.

Step by step solution

Step 1. Observe the given diagram.

The diagram constitutes a triangle ABC.

Step 2. State the Midpoint Theorem.

The theorem states that the line segment created by joining the midpoints of the triangle鈥檚 two sides is parallel and also half the length of the third side of the triangle.

Step 3. State the conclusion.

Considering the given diagram and the statement 鈥� $B D + D C = B C$ 鈥�.

Therefore, the statement about the diagram is justified by the Midpoint Theorem.

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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

State which postulate, definition, or theorem justifies the statement about the diagram.
$B D + D C = B C$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the Midpoint Theorem.

Step 3. State the conclusion.

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91影视

State which postulate, definition, or theorem justifies the statement about the diagram.BD+DC=BC

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the Midpoint Theorem.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Probability and Statistics

Mechanics Maths

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

State which postulate, definition, or theorem justifies the statement about the diagram.
$B D + D C = B C$