Geometry Review: Foundational Theorems : pg.129-131: Mrs.Box

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel

• transitive property of parallel lines

• consecutive interior angles converse

• corresponding angles converse

• alternate interior angles converse

Tags

CCSS.HSG.CO.C.9

If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel

• alternate inter

• alternate exterior angles converse

• consecutive interior angles converse

• transitive property of parallel lines

Tags

CCSS.HSG.CO.C.9

If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel

• corresponding angles converse

• alternate interior angles converse

• consecutive interior angles converse

• alternate exterior angles converse

Tags

CCSS.HSG.CO.C.9

If two lines are cut by a transversal and the consecutive interior angles are supplementary the lines are parallel

• alternative interior angles converse

• consecutive interior angles converse

• corresponding angles converse

• linear pair perpendicular theorem

Tags

CCSS.HSG.CO.C.9

If two lines are parallel to the same line, then they are parallel to each other

• transitive property of parallel lines

• transitive property theorem

• corresponding angles converse

• linear pairs perpendicular theorem

Tags

CCSS.HSG.CO.C.9

If two pairs of lines intersect to form a pair of congruent angles, then the lines are perpendicular

• corresponding angles converse

• consecutive interior angles theorem

• corresponding angles theorem

• linear pairs perpendicular theorem

If a transversal is perpendicular to one of two parallel lines then it is perpendicular

• perpendicular transversal theorem

• lines perpendicular to a transversal theorem

• perpendicular transversal converse

• triangle sum theorem

if two lines are perpendicular to the same lines then they are parallel to each other

• lines perpendicular to a transversal theorem

• triangle sum theorem

• lines perpendicular to a transversal converse

• lines perpendicular to a transversal bisector

the sum of the measures of the interior angles of a triangle is 180

• triangle sum base

• triangle sum converse

• triangle sum theorem

• sum triangle theorem

the measure of an exterior angle is equal to the sum of the two nonadjacent interior angles

• exterior angle converse

• exterior angle theorem

• angle exterior theorem

• exterior angle property