3.4 Proofs with Perpendicular Lines
Finding the Distance from a Point to a Line
• The length of a perpendicular segment from a point to a line is considered the distance from a point to that line.
L
Vocabulary
Perpendicular Bisector1) Is perpendicular to the line it intersects. 2) Cuts the line in half.
Linear Pair Perpendicular Theorem
Given: <ADC = <CDBProve: Segment CD is perpendicular to Segment AB.
Perpendicular Transversal Theorem
Given: GF||AB and EC is perpendicular to GF.
Prove: EC is perpendicular to AB.
Lines Perpendicular to a Transversal Theorem
Given: EC is perpendicular to GF and also AB
Prove: GF||AB