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Magazine Chapter 5: Q24 (page 176)
Given:
Prove: LMNO is a parallelogram.
Short Answer
As LM and ON are parallel and congruent to each other, LMNO is a parallelogram.
Step by step solution
Step 1. Observe the given diagram.
The given diagram is:
Step 2. Description of step.
From the given diagram it can be noticed that LM and ON are the lines lying on plane X and plane Y respectively.
As plane X is parallel to plane Y and lines LM and ON are the lines lying on plane X and plane Y respectively.
Therefore, it can be said that the lines LM and ON are parallel to each other.
Step 3. Description of step.
It is being given that .
Therefore, it can be noticed that LM and ON are parallel and congruent to each other.
If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.
Therefore, as LM and ON are parallel and congruent to each other, LMNO is a parallelogram.
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