Proofs, Postulates, Theorems

Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

Why is ∠KMJ ≌∠LJM?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Vertical Angles Theorem

• Definition of Complementary Angles

What reasons supports the statement?

• Symmetry Property

• Reflexive Property

• Transitive Property

• SSS

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem

• Angle Addition Postulate

• Linear Pair Postulate

• Ruler Postulate

• Segment Addition Postulate

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem

• Angle Addition Postulate

• Linear Pair Postulate

• Ruler Postulate

• Segment Addition Postulate