Practice Image (4.1.2.2) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to a point during a translation by vector (2, 5)?

💡 Hint: Think about how you'd describe movement in each direction.

Question 2 Easy

Describe what occurs during a reflection over the y-axis.

💡 Hint: How do mirror images work for points on the graph?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the effect of a translation on the shape's properties?

Size changes
Orientation changes
None of the above

💡 Hint: Think about what properties are preserved during a slide.

Question 2

True or False: Reflection always changes the size of a shape.

True
False

💡 Hint: Reflect on what happens to a shape in a mirror.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine the coordinates of point P(3, -2) after a series of transformations: translate by vector (4, 3), reflect over the x-axis, and then rotate 90 degrees CCW around the origin.

💡 Hint: Break down each step and apply transformations sequentially.

Challenge 2 Hard

Triangle XYZ defined by points X(1, 1), Y(1, 3), Z(4, 1) is subject to the following transformations: dilate by a scale factor of 3 and then translate by (-1, 2). What are the final coordinates of triangle X'Y'Z'?

💡 Hint: Multiply coordinates by the scale factor first, and then apply the translation.

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