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# Chapter 3 Geometry Postualtes/Theorems

Postulates and theorems in chapter 3
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Postualte 3.1- Corresponding Angles Postulate
If a transversal intersects two lines, then corresponding angles are congruent
Theorem 3.1- Alternate Interior Angles Theorem
If a transversal intersects two lines, then alternate interior angles are congruent
Theorem 3.- Same-Side interior Angles theorem
If a transversal intersects two parallel lines, then the same side interior angles are supplementary
Theorem 3.3- Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then alternate exterior angels are congruent
Theorem 3.4- same side exterior angles theorem
if a transversal intercets two parallel lines, then same side exterior angles are supplementary.
Postulate 3.2- Converse of corresponding angles postulate
If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel
theorem 3.5- Converse of Alternate interior angles theorem
If two lines and a trnsversal form alternate interior angels that are congruent, then the two lines are parallel
Theorem 3.6- Converse of same side interior angles theorem
If two lines and a transversal form same side interior angles that are supplementary, then the two lines are parallel
Theorem 3.7- Converse of Alternate exterior angles theorem
If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel
Theorem 3.8- Converse of same side exterior angles theorem
If two lines and a transversal form same side exterior angles that are supplementary, then the two lines are parallel
Theorem 3.9
If two lines are paralle to the same line, then they are parallel to eachother
Theorem 3.10
In a plane, if two lines are perpendicular to the same line then thay are paraller to each other
Theorem 3.11
In a plane,is a line is perpenduiclar to one of two parallel lines, then it is also perpenduicular to the other
Theroem 3.12- Triangle ANgle sum theorem
The sum of the measure of the angles of a triangle is 180
Theorem 3.13- triangle exterior angle theorem
The measure of each exterior angle of a triangle equals the sum of the measure of its two remote interior angles
Theorem 3.14- Polygon angle sum theorem
The sum of the measure of the angles of an n-gon is (n-2)180