body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

Finish the assignment

Continue to next subchapter

Exercise 13 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.

27

Practice makes perfect

We will find the value of x. Notice that the two circles are congruent according to the exercise.

Let's recall the Congruent Corresponding Chords Theorem.

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

We know that chords KL and AJ are congruent. By the theorem the corresponding minor arcs are also congruent. 5x^(∘)=(3x+54)^(∘) Let's solve this equation for x.

5x^(∘)=(3x+54)^(∘)

Remove parentheses

5x^(∘)=3x^(∘)+54^(∘)

LHS-3x^(∘)=RHS-3x^(∘)

2x^(∘)=54^(∘)

.LHS /2.=.RHS /2.

x^(∘)=27^(∘)

Subchapter links

Exercises p.736-740