CONGRUENT CHORDS AND CENTRAL ANGLES WORKSHEET

If two chords of a circle are congruent, then they determine central angles which are equal in measure.

Problem 1 :

Find the value of x.

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

In the diagram below, AD and BE are diameters of ʘF. Find the measures.

1) m arc DE            2) m arc BC

3) m arc AE            4) m arc BCD

5)m arc ABC           6) m arc ADE

Solution

Answer Key

1)  x = 60˚

2)  x = 30˚

3)  x = 45˚

4)  x = 29˚

5)  x = 15˚

6)  

1) m arc DE  = 40

2) m arc BC = 75

3)  Measure of arc AE = 220

4)  Measure of BCD = 140

5)  Measure of arc ABC = 115

6)  ∠DFE = 40 = m arc ADE

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