Chapter 3 Geometry Postualtes/Theorems

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Postulates and theorems in chapter 3

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

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