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McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 12 Page 737

By the Congruent Corresponding Chords Theorem in the same circle two minor arcs are congruent if and only if their corresponding chords are congruent.

4

Practice makes perfect

We will find the value of x.

Let's recall the Congruent Corresponding Chords Theorem.

Congruent Corresponding Chords Theorem
In the same circle two minor arcs are congruent if and only if their corresponding chords are congruent.

We know that arcs AB and BC are congruent. By the theorem the corresponding chords are also congruent. 5x-1=4x+3 Let's solve the equation to find the value of x.

5x-1=4x+3

AddEqn

LHS+1=RHS+1

5x=4x+4

SubEqn

LHS-4x=RHS-4x

x=4