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Chapter 2: Q13 (page 52)

Complete.

∠COA≅?¯

Short Answer

Expert verified

The complete statement is: ∠COA≅∠FOD.

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 ∠A≅∠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 COA and FOD.

From the diagram, it can be noticed that:

The angles COAand FODare vertically opposite angles.

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

05

Step 5. Complete the statement.

As the angles COAand FODare congruent angles.

Therefore, ∠COA≅∠FOD.

Therefore, the complete statement is: ∠COA≅∠FOD.

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Most popular questions from this chapter

Rewrite each pair of conditionals as a biconditional.

Ifthen is a straight angle. If is a straight angle, then.

Write a definition of a right angle as a biconditional.

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

If E is the midpoint of AF¯, then EC¯, bisects AF¯ .

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

If AB¯≅CD¯and DC¯≅EP¯then AB¯≅EP¯.

State the hypothesis and the conclusion of each conditional.

I’ll try if you will.
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