Practice Practice Problems 1.3 (4.1.5.5) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Practice Problems 1.3

Practice - Practice Problems 1.3

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Rotate point A(1, 1) 90 degrees CCW around the origin. What are the coordinates of A'?

💡 Hint: Apply the rule: swap x and y, then change the sign of x.

Question 2 Easy

What are the coordinates of point B after rotating it 180 degrees about the origin if B(3, 4)?

💡 Hint: Change the signs of both coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What are the coordinates of point (5, 1) after a 90-degree counter-clockwise rotation?

(1
5)
(5
-1)
(1
-5)

💡 Hint: Swap x and y!

Question 2

Is a rotation always an isometry?

True
False

💡 Hint: Think about what is preserved during transformations!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A square with vertices at (1, 1), (1, 3), (3, 3), (3, 1) is rotated 90 degrees CCW around the origin. What are the new coordinates?

💡 Hint: Remember to apply the CCW rotation rules.

Challenge 2 Hard

If point T(4, 0) rotates 180 degrees, then reflects across the line y = -1, what are the final coordinates?

💡 Hint: Keep track of the steps: first rotate, then find new image by reflecting.

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Reference links

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