Practice Example 4: Reflecting A Point Across Y = X (4.1.4.4) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Example 4: Reflecting a point across y = x

Practice - Example 4: Reflecting a point across y = x

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the reflection of the point A(1, 2) across y = x?

💡 Hint: Swap the x and y coordinates.

Question 2 Easy

Reflect the point B(-3, 4). What are the new coordinates?

💡 Hint: Remember to swap x and y!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens to the coordinates of a point after reflecting it across y = x?

They remain the same
Both coordinates change sign
They swap places

💡 Hint: Remember SPY: Same, Position, Y = X!

Question 2

True or False: The shape of a figure changes when reflecting across y = x.

True
False

💡 Hint: Consider what isometry means.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Reflect the point F(6, -4) across the line y = x and explain the outcome. Why is the resulting point significant in symmetry?

💡 Hint: Swap coordinates and observe if it shows symmetry.

Challenge 2 Hard

A rectangle has corners at (2, 3), (2, 5), (5, 5), and (5, 3). What would its new corners be after reflecting across y = x? What can you deduce about the rectangle's position?

💡 Hint: Remember to swap each vertex's coordinates!

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Reference links

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