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Identifying tangent and secant situations

A tangent touches a circle at one point, while a secant cuts the circle at two points.

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Main explanation

Teacher explanation

Many exam diagrams mix tangents, secants, and chords. You must read the figure carefully. If a line just touches once, it is a tangent. If it passes through and meets the circle at two points, it is a secant. If it joins two points on the circle, it is a chord.

Example

A line cutting a circle at A and B is a secant. A line touching only at C is a tangent.

Simple analogy

One touch, tangent. Two cuts, secant.

Common confusion

Students often confuse a secant with a chord because both involve two points on the circle.

Exam tip

Count intersections with the circle before naming the line. One point means tangent, two points mean secant.

Answer writing and exam use

1-mark use

Write the exact meaning of identifying tangent and secant situations in one clean line.

2-mark use

Define identifying tangent and secant situations and add one example or condition.

3-mark use

Explain identifying tangent and secant situations, show the method or example, and mention the common mistake.

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