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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the midpoint of the points (1, 1) and (3, 3).
💡 Hint: Sum the x-coordinates and y-coordinates separately and divide by 2.
Question 2
Easy
What can you infer about the midpoint of (5, 7) and (5, 9)?
💡 Hint: Examine the x-coordinates; they are identical.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the midpoint of (3, 4) and (5, 8)?
- (4
- 6)
- (3.5
- 6)
- (6
- 10)
💡 Hint: Remember the midpoint formula.
Question 2
Applying the pigeonhole principle, how many odd points do we need to guarantee at least two share the same characteristic?
- 3
- 4
- 5
💡 Hint: Think about the maximum characteristics available.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If you select any five integer-coordinate points from (1,1) to (8,8), construct a proof showing at least one pair will have an integer midpoint.
💡 Hint: Always categorize the points based on parities first.
Question 2
Consider points at the corners of a square. Calculate their midpoints and verify whether they yield integers.
💡 Hint: Pairs to consider are (x1, y1) with (x2, y2) opposite.
Challenge and get performance evaluation