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Perpendiculars and Distance

Perpendiculars and Distance. Honors Geometry Chapter 3, Section 6. GeoGebra. Draw a line a, Draw a point off the line, C Add a point on the line, D Draw a segment between C and D Measure the segment Measure the angle BDC, select the points in exactly that order.

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Perpendiculars and Distance

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  1. Perpendiculars and Distance Honors Geometry Chapter 3, Section 6

  2. GeoGebra • Draw a line a, • Draw a point off the line, C • Add a point on the line, D • Draw a segment between C and D • Measure the segment • Measure the angle BDC, select the points in exactly that order. • Drag point D to make the length of CD the shortest possible • What do you notice about angle BDC

  3. Notes • The shortest distance between a point and a line is always the length of the perpendicular segment from the point to the line. • Whenever we refer to the distance between lines or points and lines, we are talking about this shortest perpendicular distance.

  4. Notes • Parallel lines are everywhere equidistant i.e. the distance between parallel lines is the same everywhere. • In a plane, if two lines are equidistant from a third line, then they are parallel to each other (Theorem)

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