Practice Coordinate Rule (4.1.3.2) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Coordinate Rule

Practice - Coordinate Rule

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Translate point A(3, 4) by vector (2, 3). What are the new coordinates?

💡 Hint: Remember to add the vector to the coordinates.

Question 2 Easy

If point B(-1, 2) is translated using vector (-3, 1), what are the coordinates of B'?

💡 Hint: Pay attention to the signs of the vector.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the coordinate rule for translation state?

(x'
y') = (x + vector_x
y + vector_y)
(x
y) = (x + vector_x
y + vector_y)
(x'
y') = (x - vector_x
y - vector_y)

💡 Hint: Remember how the vector affects the coordinates.

Question 2

True or False: The size and shape of an object change after translation.

True
False

💡 Hint: Think about how translation works.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has vertices at A(2, 3), B(4, 5), and C(6, 3). If you apply the translation vector (-2, 2) to all vertices, what are the new coordinates?

💡 Hint: Apply the vector to each vertex.

Challenge 2 Hard

A square's top-left corner is at point (1, 1). If you translate it using a vector (3, 3), where will the top-right corner (which is originally at (1, 4)) be moved to?

💡 Hint: Don’t forget to add the vector to both coordinates of the corner point.

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Reference links

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