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Chapter 2: Q2. (page 71)

Name or state the postulate, property, definition or theorem that justifies the statement.

If 鈭�K鈮�鈭�Land 鈭�L鈮�鈭�M, then 鈭�K鈮�鈭�M.

Short Answer

Expert verified

The property that justifies the statement is the transitive property of Congruence.

Step by step solution

01

Step 1. State the transitive property of congruence.

The property states that if two objects that are congruent to the third object are also congruent to each other.

02

Step 2. State the explanation.

The transitive property of Congruence:

If a=band b=c, then a=c

The statement 鈥�鈭�K鈮�鈭�Land 鈭�L鈮�鈭�M, then 鈭�K鈮�鈭�M鈥� satisfies the above property.

Hence, the property that justifies the statement is transitive property of Congruence

03

Step 3. State the conclusion.

Therefore, the statement is justified by the transitive property of Congruence.

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Most popular questions from this chapter

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

If Pam lives in Chicago, then she lives in Illinois.

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

m鈭�3+m鈭�4=180

Solve each system of equations by the substitution method.

x=8+3y2x-5y=8

State the converse of each conditional. Is the converse true or false?

If a number is divisible by 6, then it is divisible by 3.

Copy and complete the proof of Theorem 2-5: If two lines form congruent adjacent angles then the lines are perpendicular.

Given:鈭�1鈮�鈭�2

Prove: l鈯�n

Proof:

Statements

Reasons

1. 鈭�1鈮�鈭�2, orm鈭�1=m鈭�2

1. _______

2. m鈭�1+m鈭�2=180.

2._______

3. m鈭�1+m鈭�2=180or 2m鈭�2=180.

3._______

4. m鈭�2=90

4._______

5._______

5. Definition of鈯�lines
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