Geometry Chapter 3

Standard Form of a linear equation

Ax + By = C

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then alternate interior angles are congruent.

Corresponding Angles Postulate

If a transversal intersects two parallel lines, then corresponding angles are congruent.

Same-Side Exterior Angles Theorem

If a transversal intersects two parallel lines, then same-side exterior angles are supplementary.

Same-Side Interior Angles Theorem

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then the alternate exterior angles are congruent

Converse of the Alternate Interior Angles Theorem

If alternate interior angles are congruent then two lines cut by a transversal are parallel

Converse of the Alternate Exterior Angles Theorem

If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.

Converse of the Corresponding Angles Postulate

If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.

Converse of the 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.

Converse of the Same-Side Interior Angles Theorem

If two lines are cut by a transversal and form same side interior angles that are supplementary, then the two lines are parallel

Equilateral Polygon

a polygon in which all sides are congruent

Equiangular Polygon

a polygon whose angles are all congruent

Point-Slope Form of a linear equation

y - y1 = m(x - x1)

Slope-Intercept Form of a linear equation.

y = mx + b

Regular Polygon

A polygon with all sides congruent and all angles congruent

Triangle Exterior Angle Theorem

The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

Triangle Angle-Sum Theorem

The sum of the measures of the angles of a triangle is 180.

The Polygon Angle-Sum Theorem

The sum of the measures of the angles of an n-gon is (n - 2)180

Polygon Exterior Angle-Sum Theorem

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.