Question

Complete the proof of ∆JKL ≅ ∆LMN, by providing the reason for each of the statements below. Reasons MAY be used more than once. NOT ALL reasons will be used.
1. JK ∥ LM, KL ∥ MN (Given)
2. ∠KJL ≅ ∠MLN; ∠KLJ ≅ ∠MNL
a. Reflexive Property
b. Alternate Interior Angles
c. Corresponding Angles
d. ASA
e. AAS
3. JK ≅ LM (Given)
4. ∆JKL ≅ ∆LMN
a. Reflexive Property
b. Alternate Interior Angles
c. Corresponding Angles
d. ASA
e. AAS

Answer 1

Answer:

• See below

Step-by-step explanation:

1. JK ∥ LM, KL ∥ MN                                 Given

2. ∠KJL ≅ ∠MLN; ∠KLJ ≅ ∠MNL           c. Corresponding Angles  

3. JK ≅ LM                                               Given

4. ∆JKL ≅ ∆LMN                                     e. AAS