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.