Given: NL is a diagonal of parallelogram KLMN
Prove: KL x NM and KN UM
(edAsset type-"image" caption" Squre-alse" ak-"Aparallelogram KLMN is divided into two triangles NL is the diagonal of the parallelogram
class-block-center img-responsive" ledAsset]
Proof:
O A.
C.
Statements
1. NL is a diagonal of
parallelogram KL MN
O D.
2 KL NM and
KN LM
3.
4. LN NL
Select the missing statement and reason to complete the given proof
ZKLN ZMLN, and ZKNL ZMNL
by the altemate interior angles theorem
OB. ZUNK ZNLM, and ZKLN ZMNL
by the altermate interior angles theorem
5. AKLNAMNL
6. KLNM and
KN LM
ZUNK ZNLM, and ZKLN ZMNL
by the corresponding angles theorem
?
ZKLN ZMLN, and ZKNL ZMNL
by the corresponding angles theorem
Reasons
Given
Definition of a
parallelogram
?
Reflexive property
of congruence
ASA congruence
criteria
Corresponding parts
of congruent
triangles are
congruent