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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 7 Page 737

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

21

Practice makes perfect

We want to 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 the chords ED and AB are congruent. Therefore, by the theorem, the corresponding minor arcs are also congruent. 5x^(∘)= 105^(∘) ⇔ x^(∘)=21^(∘)

Subchapter links

Exercises p.736-740