How to determine the measure of the arc if the chords are congruent

The video tutorial explains the relationship between equal chords and their corresponding arcs and angles in geometry. It begins by identifying equal chords and their significance. The tutorial then delves into how equal chords imply equal arcs and angles, emphasizing that when an arc is represented by a certain degree, the central angle is the same. The video concludes with a calculation of the central angle based on the given arc measurement.

What is the significance of identifying equal chords in a circle?

• They help in determining the radius of the circle.

• They indicate that the circle is a perfect circle.

• They suggest that the corresponding angles and arcs are equal.

• They show that the circle has multiple centers.

If two chords in a circle are equal, what can be said about their corresponding arcs?

• The arcs are parallel to each other.

• The arcs are of different lengths.

• The arcs are equal in length.

• The arcs are perpendicular to each other.

What does it mean when an arc is represented by 70 degrees?

• The arc is 70% of the circle.

• The central angle corresponding to the arc is 70 degrees.

• The arc is 70 degrees away from the center.

• The arc is 70 units long.

How do you determine the central angle if the arc is known?

• Divide the arc length by the radius.

• Multiply the arc length by the radius.

• The central angle is equal to the arc's degree measurement.

• Subtract the arc length from the circle's circumference.

When chords are equal, what can be inferred about the central angle?

• The central angle is half of the arc's degree measurement.

• The central angle is always 90 degrees.

• The central angle is equal to the arc's degree measurement.

• The central angle is double the arc's degree measurement.