Geometry

Question Analysis

This question focuses on identifying the type of lines shown in the triangle based on their geometric properties. The key is to match the characteristics of the lines in the figure with the definitions of different types of lines in a triangle.

Key Concept Explanation

Perpendicular Bisectors: Lines that are perpendicular to a side of a triangle and also bisect (divide into two equal parts) that side. They don't necessarily pass through the vertices of the triangle.

Medians: Line segments that join a vertex of a triangle to the mid - point of the opposite side.

Altitudes: Line segments drawn from a vertex of a triangle perpendicular to the opposite side (or the line containing the opposite side). They represent the height of the triangle with respect to the chosen base.

Angle Bisectors: Lines that divide an angle of a triangle into two equal angles.

Step - by - Step Solution

1. Analyze the given figure:

In the figure, the lines are drawn from the vertices , , and of the triangle and are perpendicular to the opposite sides

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