CCSS.Math.Practice.MP1: Common Core State Standards for Mathematics
Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics
Reason abstractly and quantitatively.
CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics
Use appropriate tools strategically.
CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics
Attend to precision.
CCSS.Math.Content.HSG-GPE.B.5: Common Core State Standards for Mathematics
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).