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Chapter 2: Q1 (page 45)

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

m鈭�AEB+m鈭�BEC=m鈭�AEC

Short Answer

Expert verified

The Angle Addition Postulate justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes a straight-line AEF and two other lines meet the line AEF at point E.

02

Step 2. State the Angle Addition Postulate.

The postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles.

03

Step 3. State the conclusion

Considering the given diagram and the statement m鈭�AEB+m鈭�BEC=m鈭�AEC.

The postulate that justifies the statement about the diagram is the Angle Addition Postulate.

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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.

ab=0only if a=0or b=0.

Rewrite each pair of conditionals as a biconditional.

If B is between A and C, then .

If , then B is between A and C.

Provide a counterexample to show that each statement is false.

Statement: If point G is on AB鈫�,then G is onBA鈫�.

Justify each step.

23b=8鈭�2b

2b=38鈭�2b

2b=24鈭�6b

8b=24

b=3

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

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