Question

Complete the missing reasons of the proof.The options are: AAS, ASA, HL, Reflexive Property, Definition of Angle Bisector, Def of Midpoint, Verticle Angles Theroem, Corresponding Angles Theroem, Alternate Interior Angles Theorem, Given.

Answer 1

Explanation:

JK parallel LM , JL parallel to KM

Reason: given

∠JKL congruent ∠MLK

Reason: alternate angles are equal

Alternate Interior Angles Theorem

∠JLK congruent ∠MKL

alternate angles are equal

Reason: Alternate Interior Angles Theorem

KL congruent to LK

Reason: reflexive property

Triangle JKL congruent to triangle MLK

The two angles are congruent under the theorem angle-side-angle

Reason: ASA