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

Practice - Transformations, Congruence & Similarity

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Translate point (3, 4) by vector (2, -3). What is the new location?

💡 Hint: Add the vector to the coordinates.

Question 2 Easy

If you reflect (6, -3) across the x-axis, what are the new coordinates?

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

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a transformation?

A change in color
A change in size and location
An addition of new points

💡 Hint: Think about how shapes can move or resize.

Question 2

Are similar shapes congruent?

True
False

💡 Hint: Consider what it means for shapes to be identical.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider triangle XYZ with vertices X(2, 3), Y(4, 5), Z(3, 7). First, translate it by vector (1, 2), then reflect the new triangle across the x-axis. What are the coordinates of the final triangle?

💡 Hint: Translate each vertex first, then apply the reflection rules.

Challenge 2 Hard

A quadrilateral ABCD has vertices A(1, 1), B(3, 1), C(3, 4), D(1, 4). Perform the following transformations: Reflect across the y-axis, then enlarge by a scale factor of 2. What are the final coordinates?

💡 Hint: Complete each transformation step and remember to apply the scale factor carefully.

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Reference links

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