Question

Tell whether AB is tangent to OC. Explain.

A. AB is not tangent to OC because the triangle is not a right triangle.
B. OAB is tangent to OC because the diameter is the shortest side of the triangle.
C. AB is tangent to OC because AB ⊥ CB at B.
D. AB is not tangent to OC because side AB is not the largest side in the triangle.

Answer 1

The correct answer is option c)AB is tangent to OC because AB ⊥ CB at B.

Step-by-step explanation:

To determine whether segment AB is tangent to circle OC, we need to consider the properties of tangents in relation to circles. A tangent to a circle is a line that touches the circle at exactly one point and is perpendicular to the radius at the point of tangency.

The correct answer is option C. AB is tangent to OC because AB ⊥ CB at B.

In other words, AB is perpendicular to CB at the point of contact B. A tangent line is a line that touches a curve at a single point without crossing it. Since AB is perpendicular to CB at the point of contact, it satisfies the definition of a tangent line.