Geometry

Question Analysis

The main focus is to correctly identify the altitude among the given line - segments in the triangle by applying the definition of an altitude and analyzing the visual cues.

 

Key Concept Explanation

An altitude of a triangle is a line segment drawn from a vertex of the triangle perpendicular to the opposite side (or the line containing the opposite side).

 

Step - by - Step Solution

1. Analyze HI:

HI is a perpendicular bisector as it is perpendicular to OP and I is the mid - point of OP. It does not meet the criteria of an altitude as it does not start from a vertex to be perpendicular to the opposite side.

 

2. Analyze RI:

RI is a median since I is the mid - point of OP. It is not an altitude as it is not perpendicular to the opposite side from R.

 

3. Analyze OQ:

OQ is an angle bisector as indicated by the arc marks. It is not an altitude as it is not perpendicular to an opposite side from O.

 

4. Analyze PG:

PG has a right - angl...