Practice Concept (4.1.4.1) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Concept

Practice - Concept - 4.1.4.1

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Practice Questions

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Question 1 Easy

Translate the point (1, 2) by the vector (2, 3). What are the new coordinates?

💡 Hint: Add the vector components to the original coordinates.

Question 2 Easy

What is the result of reflecting the point (4, -5) across the y-axis?

💡 Hint: Change the sign of the x-coordinate.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a translation?

A flip over a line
A movement without rotation
A size change

💡 Hint: Think about how an object slides across a surface.

Question 2

Does a reflection change the shape of a figure?

True
False

💡 Hint: Consider how a mirror image looks.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A rectangle has vertices at (0, 0), (0, 2), (3, 2), and (3, 0). If it's reflected across the line x=1, what are the new vertices?

💡 Hint: Consider the distance each point is from the line x=1.

Challenge 2 Hard

A point (3, 4) is enlarged by a scale factor of -2 about the origin. What are the new coordinates?

💡 Hint: Multiply both coordinates by -2 and remember to flip direction.

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