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Chapter 2: Q11. (page 57)

Name the definition or state the theorem that justifies the statement about the diagram.

If m鈭�5=90, then RS鈫�鈯�TV鈫�.

Short Answer

Expert verified

The used definition is the definition of perpendicular lines.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided relation between lines is the result of provided measurement of 鈭�5.

02

Step 2. Identify the definition or theorem.

The observation of the 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.

03

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

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

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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.

x=1only if x2=x.

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

If AD鈫� bisects 鈭�BAC, then 鈭�1鈮�鈭�2 .

Give an example of a false conditional whose converse is true.

State the hypothesis and the conclusion of each conditional.

if

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

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