Introduction to Circles

Question 1

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

Revolt · Accepted Answer

≅; BE ≅ ZX

Question 2

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

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 congrue: AOC and BOD; 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 congrue: all radii of a circle are congruent; 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 congrue: SAS; 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 congrue: CPCTC

Question 3

✔ all radii of a circle are congruentof the definition of central anglesof the isosceles triangle theorem

Revolt · Accepted Answer

✔ all radii of a circle are congruent

Question 4

AAS✔ SASSSS

Revolt · Accepted Answer

✔ SAS

Question 5

X all chords of a circle are congruent✔ CPCTCof the definition of chords

Revolt · Accepted Answer

✔ CPCTC

Question 6

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

✔ AOC and BOD; 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 congrue: AOC and BOD; 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 congrue: all radii of a circle are congruent; 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 congrue: SAS; 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 congrue: CPCTC

Question 7

m∠M = °

Revolt · Accepted Answer

90

Question 8

m∠L = °

Revolt · Accepted Answer

24

Question 9

r =

Revolt · Accepted Answer

39/10

Introduction to Circles Answers

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