Question
In an isosceles triangle that is not equilateral, the angle between the congruent sides is called a _______angle.
(1 point)
Responses
leg
leg
vertex
vertex
base
base
corollary
vertex
The angle between the congruent sides in an isosceles triangle that is not equilateral is called a vertex angle.
The angle between the congruent sides in an isosceles triangle that is not equilateral is called a vertex angle. To understand this, it's helpful to know the definitions of some key terms:
- Isosceles triangle: A triangle with two sides that are congruent (or equal in length).
- Equilateral triangle: A triangle where all three sides are congruent.
- Vertex: The point where two sides or edges of a polygon intersect.
- Angle: The measure of the opening between two lines or line segments that meet at a point.
In an isosceles triangle, the two congruent sides form a common endpoint, known as the vertex. The angle formed at this vertex, opposite to the base of the triangle, is called the vertex angle. This angle may or may not be congruent to the other two angles in the triangle.
Therefore, the correct response is "vertex" angle.