Given two congruent chords determine the measure of x for an arc

The video tutorial covers the concept of congruent chords and their corresponding arcs in geometry. It explains that when two chords are congruent, their arcs are also congruent. The tutorial then demonstrates how to calculate the length of these arcs by setting up an equation where the sum of the arcs equals 360 degrees. The process involves solving for X, which represents the arc length, and concludes with a solution of X equaling 161 degrees. The session ends with an invitation for questions.

What can be inferred when two chords in a circle are congruent?

• The chords are parallel.

• The circle has a radius of 1.

• The circle is a perfect circle.

• The arcs they subtend are also congruent.

If the sum of all arcs in a circle is 360 degrees, what equation can be set up to find the length of congruent arcs X?

• 360 = 3X + 38

• 360 = X + 38

• 360 = X + X + 38

• 360 = 2X + 38

What is the first step in solving the equation 360 = X + X + 38?

• Divide both sides by 2.

• Subtract 38 from both sides.

• Multiply both sides by 2.

• Add 38 to both sides.

After simplifying the equation to 322 = 2X, what is the next step to find X?

• Add 2 to both sides.

• Subtract 2 from both sides.

• Divide both sides by 2.

• Multiply both sides by 2.

What is the value of X when the equation 322 = 2X is solved?

• 161

• 160

• 163

• 162