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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What happens to the point (3, 2, 5) when it is reflected over the y-axis?
💡 Hint: Negate the x-coordinate.
Question 2
Easy
If a point (1, 2, 3) is rotated 90 degrees about the y-axis, what will be its new coordinates?
💡 Hint: Use the rotation matrix.
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 does reflecting a point over the y-axis do?
- True
- False
💡 Hint: Think about how coordinates change during reflection.
Question 2
When rotating an object around the y-axis, which coordinate remains unchanged?
- x
- y
- z
💡 Hint: Which dimension is being rotated?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the point Q(1, 2, 3), perform a 45-degree rotation about the y-axis followed by reflection over the y-axis. List the step-by-step coordinates after each transformation.
💡 Hint: Break the problem into the two transformations: rotation first, then reflection.
Question 2
Create a 3D object, a rectangular box, defined by three vertices. Apply rotation around the y-axis and then reflect the new coordinates. Show the coordinates before and after.
💡 Hint: Track vertices individually through rotation then apply reflection sequence.
Challenge and get performance evaluation