Question

complete the sentence. two regular pentagons can intersect in _______. two lines two rectangles two points two triangles

Explanation:

A regular pentagon has five sides. When two regular pentagons intersect, we analyze the possible intersections:

• "Two lines": A pentagon is a polygon with line - segment sides, but the intersection of two pentagons won't typically be two lines in the sense of infinite lines. The sides of pentagons are line segments, and their intersection is more about regions or points.
• "Two rectangles": A regular pentagon has five - sided, non - rectangular (in terms of internal angles and side relationships) shape. The intersection of two regular pentagons is not likely to form two rectangles as the angles and side lengths of a pentagon don't align with the properties of a rectangle (four right angles, opposite sides equal).
• "Two points": Two regular pentagons can intersect at two points. For example, if we position two regular pentagons such that they cross each other, the intersection can be at two distinct points.
• "Two triangles": A regular pentagon's intersection with another regular pentagon is not likely to form two triangles. The shape of a pentagon and the way two pentagons interact doesn't lead to the formation of two triangles as the primary intersection figure.

Answer:

C. two points