When a chord is bisected by a line then it is perpendicular to that line

The video tutorial covers the concepts of circles, diameters, and chords, focusing on the properties of perpendicular chords and their bisection by diameters. It explains how a diameter bisects a perpendicular chord and how this relates to equal arcs. The tutorial also discusses the converse of this theorem and its applications in solving geometric problems, including using the Pythagorean theorem.

What happens when a chord is perpendicular to a diameter in a circle?

• The diameter is bisected by the chord.

• The circle is divided into two equal parts.

• The chord becomes a tangent.

• The chord is bisected by the diameter.

If a diameter bisects a chord, what can be said about the two segments of the chord?

• They are unequal.

• They are equal.

• They form a right angle.

• One is twice the length of the other.

When a diameter bisects a chord, what can be inferred about the arcs it creates?

• The arcs form a right angle.

• One arc is twice the length of the other.

• The arcs are unequal.

• The arcs are equal.

If two arcs in a circle are equal, what can be concluded about the chord that connects them?

• The chord is a tangent.

• The chord is perpendicular to the diameter.

• The chord is longer than the diameter.

• The chord is parallel to the diameter.

How can the properties of perpendicular chords and diameters help in solving geometric problems?

• By determining the circumference of the circle.

• By using the Pythagorean theorem in right triangles.

• By identifying parallel lines.

• By calculating the area of the circle.