Chapter 3 Postulates and Theorems.

Alternate Exterior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.HSG.CO.C.9

Corresponding Angle Postulate

• If two parallel lines are cut by a traversal, then corresponding angles are supplementary.

• If two parallel lines are cut by a traversal, then corresponding angles are congruent.

• If corresponding angles are congruent, then two parallel lines are cut by a traversal.

• If corresponding angles are supplementary, then two parallel lines are cut by a traversal.

Tags

CCSS.HSG.CO.C.9

What is this? " A Linear pair is a pair of supplementary adjacent angles"

• Linear Pair Postulate

• Linear Postulate

• Definition of Linear Pair

• Linear Pair Theorem

What is this? "If two angles are vertical, then they have equal measures"

• Vertical Angle Postulate

• Definition of Vertical Angles

• Parallel Postulate

• Vertical Angle Theorem

Tags

CCSS.HSG.CO.C.9

Which property is used here; "AB=AB"?

• Reflexive Property

• Symmetric Property

• Transitive Property

Which Property is used here; "If AB=CD, and CD=EF, then AB=EF"?

• Reflexive Property

• Symmetric Property

• Transitive Property

Which property is used here; "If AB=CD, then CD=AB"?

• Reflexive Property

• Symmetric Property

• Transitive Property

Alternate Interior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then alternate interior angles are supplementary.

• If a pair of parallel lines is cut by a traversal, then alternate interior angles are congruent.

• If alternate interior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate interior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.HSG.CO.C.9

Consecutive Interior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then consecutive interior angles are supplementary.

• If a pair of parallel lines is cut by a traversal, then consecutive interior angles are congruent.

• If consecutive interior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If consecutive interior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.HSG.CO.C.9

Consecutive Exterior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then consecutive exterior angles are supplementary.

• If a pair of parallel lines is cut by a traversal, then consecutive exterior angles are congruent.

• If consecutive exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If consecutive exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.HSG.CO.C.9