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Chapter 2: Q18 (page 68)

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

If NM鈫�鈯�GH鈫�, then鈭�3and鈭�4complementary.

Short Answer

Expert verified

The statement regarding the diagram can justified by the Definition of perpendicular lines.

Step by step solution

01

Step 1. Observe the diagram.

Here,NM鈫�鈯�GH鈫�.

02

Step 2. State the definition of perpendicular lines.

The angle formed by two perpendicular lines is congruent adjacent angle.

03

Step 3. State the conclusion.

Considering the diagram and as NM鈫�鈯�GH鈫�, then 鈭�MNH=90鈭�and 鈭�MNK=鈭�MNHas perpendicular lines make an angle of 90鈭�.

So, 鈭�3and 鈭�4are complimentary.

Therefore, the statement is justified by the definition of perpendicular lines.

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Most popular questions from this chapter

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;

Justify each statement with a property from algebra or property of congruence.

If 2z鈭�5=鈭�3then 2z=2.

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

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Given:

m鈭�1=m鈭�3;

m鈭�2=m鈭�4

Prove: m鈭�ABC=m鈭�DEF

Proof:

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

If points D, E, and F are collinear, then DE+EF=DF.
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