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

• See below

Explanation:

1. JK ∥ LM, KL ∥ MN Given

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

3. JK ≅ LM Given

4. ∆JKL ≅ ∆LMN e. AAS