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Chapter 2: Q6. (page 57)

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

If 鈭�6is a right angle, 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鈭�6 is the angle ofRS鈫� andTV鈫� the angle is having a measurement of 90掳.

02

Step 2. Identify the definition or theorem.

The observation of statement returns the definition of perpendicular lines that isthe 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 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

Copy everything shown and write a two-column proof.

Given:m鈭�1=m鈭�2;

m鈭�3=m鈭�4;

Prove:m鈭�SRT=m鈭�STR

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 the hypothesis and the conclusion of each conditional.

If she鈥檚 smart, then I鈥檓 a genius.

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

m鈭�1+m鈭�2=m鈭�BAC

Justify each step.

z+73=鈭�11

z+7=鈭�33

z=鈭�40
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