Geometry

Question Analysis:
This question is centered around applying CPCTC.
The main focus is on determining the correct corresponding angles and sides based on the given congruent triangles.

Key Concept Explanation:
When △JKL ≅ △MNO, the order of vertices indicates the correspondence.
J corresponds to M, K corresponds to N, and L corresponds to O.
So, corresponding angles and sides are congruent according to CPCTC.

Step - by - Step Solution:
Given △JKL ≅ △MNO.
For the angle:
Since ∠J is an angle in △JKL and J corresponds to M, then ∠J and ∠M are corresponding angles.
Given ∠J = 30°, so ∠M = 30°.
For the side:
Since KL is a side in △JKL and K corresponds to N and L corresponds to O, the side in △MNO that corresponds to KL is NO.
Given KL = 8 units, then NO = 8 units.

Option Analysis:
Option A: ∠M = 30° and NO = 8 units is correct as it follows the proper correspondence.
Option B: ∠N does not correspond to ∠J, and MO does not correspond to KL, so this option is incorrect.
Option C: MO does not correspond to KL, so this option is incorrect.
Option D: ∠N does not correspond to ∠J, so this option is incorrect.

Common Mistakes:
Incorrectly identifying the ...