Tangents with Circles for First Year Students

What is the definition of a tangent with a circle?

• A tangent with a circle is a line that never touches the circle.

• A tangent with a circle is a line that intersects the circle at two points.

• A tangent with a circle is a line that passes through the center of the circle.

• A tangent with a circle is a line that touches the circle at exactly one point without intersecting it.

How do you find the tangent points on a circle?

• Draw a line perpendicular to the radius at the desired point on the circle.

• Draw a line parallel to the radius at the desired point on the circle.

• Use a protractor to measure the angle between the radius and the tangent line.

• Connect the center of the circle to the desired point to find the tangent.

Differentiate between external and internal tangents of tangent circles.

• Internal tangents intersect the circles externally.

• External tangents intersect the circles internally.

• External tangents do not intersect the circles.

• External tangents intersect the circles externally, while internal tangents intersect the circles internally.

How many tangents can a circle have?

• Ten

• One

• Five

• Infinite

If a line is tangent to a circle, what is the relationship between the line and the radius at the point of tangency?

• Curved

• Intersecting

• Parallel

• Perpendicular

In a circle, if a line is tangent to the circle and a radius drawn to the point of tangency, what is the relationship between the line and the radius?

• Parallel

• Intersecting

• Perpendicular

• Curved

What makes a line to be tangent to a circle?

• The line must be perpendicular to the circle.

• The line must be parallel to the circle.

• The line must intersect the circle at two points.

• The line must touch the circle at exactly one point.

Explain the term point of tangency/point of contact on a circle.

• A point of tangency is where a circle and a line never touch

• A point of tangency is where a circle and a line intersect at an angle

• A point of tangency is where a circle intersects a line at multiple points

• A point of tangency on a circle is where a line or curve touches the circle at exactly one point without crossing it.

What is the relationship between the radius of a circle and a line tangent to the circle at a given point?

• Parallel

• Intersecting

• Perpendicular

• Curved