CONGRUENT CHORDS AND ARCS WORKSHEET

Problem 1:

Find the measure of AB.

Solution

Problem 2 :

In circle B, CB ≈ BD. Find x if AE = x² and FG = 3x + 4.

Solution

Problem 3 :

Solve for x.

Solution

Problem 4 :

Solve for x.

Solution

Problem 5 :

Solve for x.

Solution

Problem 6 :

Use the diagram below.

a. Explain why AD ≈ BE.

b. Find the value of x.

c. Find m arc AD and m arc BE.

d. Find m arc BD.

Solution

Problem 7 :

Solve for x.

Solution

Problem 8 :

Solve for x.

Solution

Problem 9 :

Solve for x.

Solution

Answer Key

1) x = 27˚, AB = 135˚

2)  x = 4

3)  x = 7

4) x = 3

5) x = 40˚

6)  a) AD ≈ BE   b)  x = 10   c)  m arc AD = 110˚

d)  m arc BD = 100˚

7)  x = 7

8)  x = 93˚

9)  x = 3

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