Which of the following best describes the relationship between a circle and a tangent line?
Practice Questions
1 question
Q1
Which of the following best describes the relationship between a circle and a tangent line?
A tangent line intersects the circle at two points.
A tangent line is perpendicular to the radius at the point of contact.
A tangent line can be drawn from any point inside the circle.
A tangent line passes through the center of the circle.
A tangent line is defined as a line that touches the circle at exactly one point and is perpendicular to the radius at that point.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following best describes the relationship between a circle and a tangent line?
Solution: A tangent line is defined as a line that touches the circle at exactly one point and is perpendicular to the radius at that point.
Steps: 5
Step 1: Understand what a circle is. A circle is a round shape where all points are the same distance from the center.
Step 2: Know what a tangent line is. A tangent line is a straight line that touches the circle.
Step 3: Identify the point where the tangent line touches the circle. This point is called the point of tangency.
Step 4: Remember that a tangent line only touches the circle at one point, not two or more points.
Step 5: Learn that at the point where the tangent line touches the circle, it is perpendicular to the radius. This means it forms a right angle (90 degrees) with the radius drawn to that point.
