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.

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Presentation transcript:

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.

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Vocabulary Perpendicular Bisector 1)Is perpendicular to the line it intersects. 2)Cuts the line in half.

Linear Pair Perpendicular Theorem Given: <ADC = <CDB Prove: 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

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