Practice - Combining Transformations: A Sequence of Moves
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Practice Questions
Test your understanding with targeted questions
Translate point B(5, 6) by the vector (2, -3). What are the new coordinates?
💡 Hint: Add the vector components to the respective coordinates.
Reflect point C(-3, 4) across the x-axis. What are the new coordinates?
💡 Hint: Change the sign of the y-coordinate.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which transformation involves flipping a shape over a line?
💡 Hint: Remember the mirror analogy!
Does the order of transformations affect the final outcome?
💡 Hint: Think of point A(2, 3) and how reflecting or translating first leads to different results.
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Challenge Problems
Push your limits with advanced challenges
A triangle has vertices at (1, 2), (4, 3), and (2, 5). First, apply a translation by (3, 2), then a reflection over the x-axis, and finally a rotation of 90 degrees clockwise. What are the final coordinates?
💡 Hint: Perform the transformations in the indicated sequence carefully!
Given point P(3, 1) that is translated by (-2, 2), reflected over the line y = -x, and then rotated by 180 degrees around the origin. What are the final coordinates?
💡 Hint: Make sure to perform each transformation in the correct order!
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