Question

1. in the construction of a regular hexagon, if you connect every other vertex, you create: (1) a regular pentagon (2) two equilateral triangles (3) a rhombus (4) an isosceles triangle

Explanation:

A regular hexagon has all sides equal and internal angles of 120°. Connecting every other vertex (skipping one vertex each time) forms triangles with sides equal to the hexagon's radius (which equals its side length). These triangles have all sides equal, so they are equilateral, and two such triangles are formed. Option (1) is wrong (hexagon has 6 vertices, connecting every other gives 3 - sided figures, not 5). Option (3) is wrong (a rhombus isn't formed here). Option (4) is wrong (the triangles are equilateral, not just isosceles).

Answer:

(2) Two equilateral triangles