When two of its non-parallel sides are congruent
true
true
true
True.
An isosceles triangle is not a regular polygon because it has only 2 equal sides but an equilateral triangle is a regular polygon because it has 3 equal sides and 3 equal angles.
When two of its non-parallel sides are congruent
true
true
true
true
false
False
True.
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
True
TRUE