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6. which of the following shows ad as a median? a. b. c. d. 6.

Question

  1. which of the following shows ad as a median? a. b. c. d. 6.

Explanation:

Step1: Recall the definition of a median

A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side.

Step2: Analyze each option

  • Option a: The marks on the sides \(AB\) and \(AC\) indicate \(AB = AC\) (isosceles triangle property, not a median property).
  • Option b: The right - angle mark indicates \(AD\perp BC\), so \(AD\) is an altitude.
  • Option c: The angle marks indicate \(AD\) is an angle bisector.
  • Option d: The marks on \(BD\) and \(DC\) indicate \(BD=DC\). Since \(AD\) connects vertex \(A\) to the mid - point \(D\) of side \(BC\), \(AD\) is a median.

Answer:

D.