Question

question 10 of 10
which is the best definition of a triangle?
a. a figure formed by three segments connecting three noncollinear
points
b. a figure formed by four segments connecting four noncollinear
points
c. a figure formed by four collinear points
d. a figure formed by three parallel segments

Explanation:

A triangle is a basic geometric shape. Let's analyze each option:

• Option B: A figure with four segments and four non - collinear points is a quadrilateral, not a triangle.
• Option C: Four collinear points form a line segment (if we consider the figure formed by connecting them, in a degenerate case), not a triangle.
• Option D: Three parallel segments do not form a closed figure (a triangle is a closed figure), and also, for a triangle, the sides are not parallel.
• Option A: By the definition of a triangle, it is a closed figure formed by three line segments connecting three non - collinear points.

Answer:

A. A figure formed by three segments connecting three noncollinear points