Question

When we have 3 consecutive vertices of a polygon `a`, `b`, and `c`, so that the triangle `abc` lies entirely inside the polygon, we call `b` an ear of the polygon. 1. How many ears does a parallelogram have?

1) 0
2) 1
3) 2
4) 3

Answer 1

A parallelogram has zero ears because any triangle formed by three consecutive vertices shares a side with the parallelogram and does not lie entirely within it.

Step-by-step explanation:

A parallelogram is a four-sided polygon with opposite sides that are both equal in length and parallel. When discussing ears of a polygon, which are vertices where the triangle formed by the vertex itself and the two adjacent vertices falls entirely inside the polygon, a parallelogram does not have any such vertices. All of the triangles that can be formed by selecting three consecutive vertices of a parallelogram will have one side that coincides with one of the parallelogram's sides, resulting in the triangle sharing a side with the polygon rather than lying entirely within it. Therefore, a parallelogram has zero ears.