## PROBLEM:

## Given three parallel lines, construct an equilateral triangle with a vertex on each line.

Hint?Something to try . . .

Prove your construction works for any three parallel lines. Is it a unique triangle?Here is a presentation of three different constructions on one set of parallel lines. Are all three congruent equilateral triangles? Proof?

## Extensions

Given three parallel lines, construct an isosceles right triangle with one vertex on each of the three lines.

Return to