Question

The method suitable to teach the theorem "A perpendicular drawn from centre of a circle to a chord bisect it" is:

• A. Analytic
• B. Synthetic
• C. Inductive
• D. Deductive

Answer 1

Answer:

D. Deductive

Yes, the deductive method is suitable for teaching the theorem "A perpendicular drawn from the center of a circle to a chord bisects it."

The deductive method is based on logical reasoning, where the proof of a statement follows a structured sequence of steps that lead from general principles (such as postulates, axioms, and previously proven theorems) to a specific conclusion.

In the case of the theorem "A perpendicular drawn from the center of a circle to a chord bisects it", the proof would involve:

1. Using known properties of circles (e.g., the radius of a circle is constant and all radii are equal).

2. Applying geometric principles and logic to show that the perpendicular from the center of the circle divides the chord into two equal parts.

Since this involves applying general principles of geometry to prove a specific statement, the deductive method is the appropriate teaching method.