Central Angles

Question 1

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Revolt · Accepted Answer

A: AOC and BOD

Question 2

Given , ⊙A ≅ ⊙V, what congruency statements can you make? Check all that apply.

Revolt · Accepted Answer

B: ≅; F: BE ≅ ZX

Question 3

r =

Revolt · Accepted Answer

A: 39/10

Question 4

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Revolt · Accepted Answer

A: all radii of a circle are congruent

Question 5

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Revolt · Accepted Answer

B: SAS

Question 6

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Revolt · Accepted Answer

B: CPCTC

Central Angles Answers

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