Geometry

Question Analysis

This question focuses on identifying minor arcs in a circle, testing the understanding of the difference between minor and major arcs.

 

Key Concept Explanation

Minor Arc: An arc that is less than a semi - circle, named by its two endpoints.

Major Arc: An arc that is greater than a semi - circle, often named with three points (the two endpoints and a point on the arc).

Radius: A line segment from the center of the circle to a point on the circumference.

 

Step - by - Step Solution

1. Analyze each option:

Arc HG: HG is a radius (a line segment from the center H to the circumference at G), not an arc.

Arc EGF: This arc spans more than half of the circle, so it is a major arc.

Arc FG: It is less than a semi - circle and is a minor arc.

Arc EH: EH is a radius (a line segment from the center H to the circumference at E), not an arc.

 

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