[Answer] What is always true about the angles of an isosceles triangle?

Answer: At least two of the angles are congruent

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What is always true about the angles of an isosceles triangle? A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A B and C is denoted △ABC. In Euclidean geometry any three points when non-collinear determine a unique triangle and simultaneously a unique plane. In other words ther… How to Find Isosceles Triangle Angles - Maths with Mum Isosceles Triangles Flashcards | Quizlet How to Find Isosceles Triangle Angles - Maths with Mum What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse Since it is given that AB ≅ AC it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C then AC > AB because of the triangle parts relationship theorem. For the same reason if m∠B < m∠C then AC < AB. This is a contradiction to what is given. For any isosceles triangle the following six line segments coincide: • the altitude a line segment from the apex perpendicular to the base • the angle bisector from the apex to the base • the median from the apex to the midpoint of the base • the perpendicular bisector of the base within the triangle • the segment within the triangle of the unique axis of symmetry of th… For any isosceles triangle the following six line segments coincide: • the altitude a line segment from the apex perpendicular to the base • the angle bisector from the apex to the base • the median from the apex to the midpoint of the base • the perpendicular bisector of the base within the triangle • the segment within the triangle of the unique axis of symmetry of the triangle and • the segment within the triangle of the Euler line of the triangle. Their common length is the height ${\displaystyle h}$ of the triangle. If the triangle has equal sides of length ${\displaystyle a}$ and base of length ${\displaystyle b}$ the general ...

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