Download Notes 3.6 Prove Theorems About Perpendicular Lines

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

History of trigonometry wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Contour line wikipedia , lookup

Euler angles wikipedia , lookup

Perspective (graphical) wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Cartesian coordinate system wikipedia , lookup

Rational trigonometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
3.6 Prove Theorems about Perpendicular Lines
Theorems about perpendicular lines:
a) If two lines intersect to form a linear pair of congruent angles then, the lines
are perpendicular.
b) If two lines are perpendicular, then they intersect to form four right angles
c) If two sides of two adjacent acute angles are perpendicular, then the angles are
complementary
d) If a transversal is perpendicular to one of two parallel lines, then it is
perpendicular to the other. (Perpendicular Transversal Theorem)
e) In a plane, if two lines are perpendicular to the same line, then they are
parallel to each other. (Lines Perpendicular to a Transversal Theorem)
Determine the measure of angle 1.
Distance From a Line:
The distance from a point to a line is the length of the PERPENDICULAR
SEGMENT form the point to the line.