Question

1. any altitude of an isosceles triangle is also a median of the triangle. true false for the next seven questions give each reason for the following proof. proof given: \\( \triangle a b c \\) is isosceles with \\( \overline{a b} \cong \overline{b c}, \overline{b d} \\) is an altitude prove: \\( \triangle a b d \cong \triangle c b d \\)

Explanation:

Step1: Analyze the statement about isosceles triangle

In an isosceles triangle, only the altitude drawn to the base is also a median. If we consider an altitude drawn to one of the equal sides, it is not a median. For example, in an isosceles triangle \(ABC\) with \(AB = AC\), the altitude from \(B\) to \(AC\) does not bisect \(AC\) (i.e., it is not a median).

Answer:

False