Assignment #10: Chords and Tangents

Front

What is a tangent to a circle?

Back

A tangent to a circle is a line that touches the circle at exactly one point.

Front

What is the relationship between a radius and a tangent at the point of tangency?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

If a diameter is perpendicular to a chord, what can be said about the chord?

Back

The diameter bisects the chord and the corresponding arc.

Front

How do you determine if a line is tangent to a circle?

Back

A line is tangent to a circle if it intersects the circle at exactly one point.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

If BC is tangent to the circle at point C, what can be said about the length of segment BC?

Back

The length of segment BC can be calculated using the Pythagorean theorem if the lengths of the other sides are known.

Front

What does it mean for a chord to be bisected?

Back

A chord is bisected when it is divided into two equal segments.

Front

What is the significance of the point of tangency?

Back

The point of tangency is the point where the tangent line touches the circle.

Front

How can you find the length of the hypotenuse in a right triangle formed by a tangent and a radius?

Back

Use the Pythagorean theorem: hypotenuse = √(leg1² + leg2²).

Front

What is the relationship between a chord and the arc it subtends?

Back

A chord subtends an arc, which is the portion of the circle between the endpoints of the chord.