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Chapter 2: Q11 (page 52)

Complete.

Short Answer

Expert verified

The complete statement is: 鈭�AOB鈮�鈭�EOD.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Definition of congruent angles.

The two angles are said to be congruent angles if they have equal measure.

If two angles A and B are congruent then it can be written as鈭�A鈮�鈭�B.

03

Step 3. Write the theorem 2-3.

The theorem 2-3 states that the vertical angles are congruent.

04

Step 4. Write the relations between the angles AOB and EOD.

From the diagram, it can be noticed that:

The angles AOBand EODare vertically opposite angles.

Therefore, from theorem 2-3, it can be said that the angles AOBand EODare congruent angles.

05

Step 5. Complete the statement.

As, the angles AOBand EODare congruent angles.

Therefore, 鈭�AOB鈮�鈭�EOD.

Therefore, the complete statement is:鈭�AOB鈮�鈭�EOD.

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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.

P is the midpoint ofGH炉 implies that GH=2PG.

Copy everything shown and supply missing statements and reasons.

Given:m鈭�4+m鈭�6=180

Prove: m鈭�5=m鈭�6

Proof:

Write each biconditional as two conditionals that are converses of each other.

Points are collinear if and only if they all lie in one line.

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

If 鈭�A鈮�鈭�B, then m鈭�A=m鈭�B.

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

m鈭�1+m鈭�2=m鈭�BAC
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