Download Theorem List (Chapter 3).

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

Multilateration wikipedia , lookup

Trigonometric functions wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Perspective (graphical) wikipedia , lookup

Contour line wikipedia , lookup

Rational trigonometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Euler angles wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
GEOMETRY THEOREMS – CHAPTER 3
T3.1: If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are
. Alternate Interior Angles Conjecture (pg 155)
T3.2: If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are
. Alternate Exterior Angles Conjecture (pg 155)
T3.3: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles
are
. Consecutive Interior Angles Conjecture (pg 155)
T3.4: If two lines are cut by a transversal so that the alternate interior angles are congruent,
then the lines are
. Alternate Interior Angles Converse (pg 162)
T3.5: If two lines are cut by a transversal so that the alternate exterior angles are congruent,
then the lines are
. Alternate Exterior Angles Converse (pg 162)
T3.6: If two lines are cut by a transversal so that the consecutive interior angles are
supplementary, then the lines are
.
Consecutive Interior Angles Converse (pg 162)
T3.7: If two lines are parallel to the same line, then they are
. Transitive Property of Parallel Lines (pg 164)
T3.8: If two lines intersect to form a linear pair of congruent angles, then the lines are
. (pg 190)
T3.9: If two lines are perpendicular, then they intersect to form
. (pg 190)
T3.10: If two sides of two adjacent acute angles are perpendicular, then the angles are
. (pg 191)
T3.11: If a transversal is perpendicular to one of two parallel lines, then it is
. Perpendicular Transversal Theorem (pg 192)
T3.12: In a plane, if two lines are perpendicular to the same line, then they are
.
Lines Perpendicular to a Transversal Theorem (pg 192)
(Have you proved it? If you prove any theorem, you should put a  by the theorem and keep the proof in your notes.)