Practice - Practice Problems 1.3
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Rotate point A(1, 1) 90 degrees CCW around the origin. What are the coordinates of A'?
💡 Hint: Apply the rule: swap x and y, then change the sign of x.
What are the coordinates of point B after rotating it 180 degrees about the origin if B(3, 4)?
💡 Hint: Change the signs of both coordinates.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What are the coordinates of point (5, 1) after a 90-degree counter-clockwise rotation?
💡 Hint: Swap x and y!
Is a rotation always an isometry?
💡 Hint: Think about what is preserved during transformations!
1 more question available
Challenge Problems
Push your limits with advanced challenges
A square with vertices at (1, 1), (1, 3), (3, 3), (3, 1) is rotated 90 degrees CCW around the origin. What are the new coordinates?
💡 Hint: Remember to apply the CCW rotation rules.
If point T(4, 0) rotates 180 degrees, then reflects across the line y = -1, what are the final coordinates?
💡 Hint: Keep track of the steps: first rotate, then find new image by reflecting.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.