Practice Concept (4.1.3.1) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Concept

Practice - Concept - 4.1.3.1

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the image of point A(3,4) after a translation by vector (2,3)?

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

Question 2 Easy

If you reflect point B(1,2) across the y-axis, what is the new location?

💡 Hint: Only the x-coordinate changes sign.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a rigid transformation?

A transformation that changes size
A transformation that maintains size and shape
Neither

💡 Hint: Think of transformations that do not change any dimensions.

Question 2

True or False: A dilation can only make a shape larger.

True
False

💡 Hint: Recall the definition of dilation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A rectangle has vertices at A(1,1), B(1,4), C(3,4), and D(3,1). Translate it by vector (2, -2) and then reflect it across the line y=2. What are the new coordinates of the rectangle?

💡 Hint: First, perform the translation, then apply the reflection.

Challenge 2 Hard

An object is dilated by a scale factor of 0.5 from the point (0,0). If the original points are (4,6) and (-2,8), what are the coordinates of the dilated image?

💡 Hint: Multiply both coordinates of each point by the scale factor.

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Reference links

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