Proof Geometry

We know that ∠1 & ∠4 are supplementary because the...

• Linear Pair Theorem

• Definition of Supplementary Angles

• Definition of Complimentary Angles

Given: k∥l,

therefore m∠3 = m∠7,

because the

• Corresponding Angles Postulate

• Angle Congruence Theorem

• Definition of Congruence

• Definition of an Angle Bisector

Given: segment AB ≅ CD,

therefore AB = CD,

because the.......

• Reflexive Property

• Segment Congruence Theorem

• CPCF Theorem

• Definition of a Midpoint

Ray KM is an angle bisector to ∠LKJ,

therefore m∠LKM = m∠MKL because the.....

• Angle Congruence Theorem

• Corresponding Angles Postulate

• Symmetric Property

• Definition of an Angle Bisector

Given: k∥ l m∠2 + m∠5 = 180° because the.....

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Same Side Interior Angles Theorem

If two angles are congruent then we know that the measures of these angles equal each other because the...

• Definition of an Angle Bisector

• Angle Congruence Theorem

• CPCF Theorem

• Corresponding Angles Postulate

If ΔEFG ≅ ΔTUV, then segment FG ≅ segment UV, because the.....

• CPCF Theorem

• Segment Congruence Theorem

• Transitive Property

• Definition of a Midpoint

If C is the center of the circle,

we know that segment CI = segment CF,

because the.....

• CPCF Theorem

• Segment Congruence Theorem

• Definition of a Circle

If ΔKMN is a rotation of ΔQRS, then we know that ΔKMN≅ΔQRS, because the......

• Symmetric Property

• Definition of Congruence

• CPCF Theorem

• Transitive Property

In the given proof, what is the reason for step 2?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.