# HSG-GPE.B.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

## Tasks

A Midpoint Miracle

Unit Squares and Triangles

Triangles inscribed in a circle

Equal Area Triangles on the Same Base I

Equal Area Triangles on the Same Base II

When are two lines perpendicular?

Slope Criterion for Perpendicular Lines

Parallel Lines in the Coordinate Plane