Check the following relations R and `rho` for reflexive, symmetry and transitivity.
`alpha rho beta` iff `alpha` is perpendicular to `beta`, where `alpha` and `beta` are straight lines in a plane.

Explanation

The relation `rho` is not reflexive as no line can be perpendicular to itself. The relation `rho` is symmetric, since a line `alpha` is perpendicular to `beta`, then `beta` is perpendicular to `alpha` and the relation `rho` is not transitive, since a line `alpha` is perpendicular to `beta` and if `beta` is perpendicular to `gamma` (new line), then `alpha` is not perpendicular to `gamma` (since, `alpha` is parallel to `gamma`).