Geometry

Question Analysis

This question focuses on the identification of a semicircle arc within the realm of circle geometry. The key lies in applying the correct geometric concepts to distinguish among different types of arcs.

 

Key Concept Explanation

A semicircle arc is an arc that measures 180 degrees. It is defined by the endpoints of a diameter and the curved portion of the circle connecting them, effectively splitting the circle into two congruent halves.

 

Step - by - Step Solution

1. Recall the fundamental definition of a semicircle arc.

2. Evaluate each option:

A.Arc EF: Given that EF is a diameter (passing through the center H), the arc EF inherently spans 180 degrees, qualifying it as a semicircle arc.

B.Arc EH: EH is a radius, not an arc that encompasses 180 degrees, so it fails to meet the criteria for a semicircle arc.

C.Arc GE: This arc does not cover 180 degrees of the circle's circumference; instead, it is a minor arc, thus it is not a semicircle arc.

D.Arc GHE: ∠GHE is a central angle with its vertex at the center H. It doesn't represent a 180 - degree arc.

 

Common Mistakes

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