Practice Mapping To Ordered Pairs (17.6.2) - Module No#08 - Discrete Mathematics

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6 sample questions

Question 1.
What is the midpoint of the points (2, 4) and (4, 6)?
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Use the midpoint formula: ((x1 + x2)/2, (y1 + y2)/2).
Question 2.
How many even/odd combinations exist when evaluating coordinates?
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Consider parity for x and y coordinates.
3Question 3.
What principle is used to guarantee that among 5 points, at least two share the same category?
- Pigeonhole Principle
- Midpoint theorem
- Integer mapping
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Think of categorizing items.
4Question 4.
True or False: The midpoint of (1,3) and (3,5) is an integer.
- True
- False
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Calculate it to verify.
Question 5.
Given 5 different integers in the range of 1 to 10, show how you can always find two that sum up to 11.
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Chart out the pairs and check how they fit.
Question 6.
Constructively prove that with any selection of 6 integers from 1 to 12, at least two integers will share the same parity.
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Think about how many students can fit into the same two chairs.

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