Practice Practice Problems 2.1 (5.6) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Practice Problems 2.1

Practice - Practice Problems 2.1

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Reflect point A(4, 5) across the y-axis. What are the coordinates of A'?

💡 Hint: Remember the rule for reflections across the y-axis.

Question 2 Easy

Translate point B(2, 3) by the vector (3, 2). What are the coordinates of B'?

💡 Hint: Add the translation values to the respective coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of reflecting point (4, 3) across the x-axis?

(4
3)
(4
-3)
(-4
3)

💡 Hint: Think about how the y-coordinate is affected.

Question 2

In a sequence of transformations, does the order in which you apply them matter?

True
False

💡 Hint: Consider what happens if you rotate first vs. translating first.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A shape has corners at (2, 3), (3, 5), and (5, 3). If it's rotated 90 degrees counter-clockwise and then reflected across the y-axis, what are the final coordinates?

💡 Hint: Break down each transformation step.

Challenge 2 Hard

Reflect triangle XYX with vertices X(2, 4), Y(6, 4), and Z(4, 8) across x = 6. Then translate right by 2 units. What are the coordinates of the final image?

💡 Hint: Consider the impact of both transformations on each vertex.

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Reference links

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