Practice Invariant Properties (4.1.4.3) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Invariant Properties

Practice - Invariant Properties - 4.1.4.3

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to the position of a figure during a translation?

💡 Hint: Think of how a piece of furniture moves in a room.

Question 2 Easy

When you reflect a point across the y-axis, what happens to the x-coordinate?

💡 Hint: Remember what happens in a mirror.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an invariant property in transformations?

💡 Hint: Think about characteristics of shapes during transformations.

Question 2

Reflections change the orientation of a shape.

True
False

💡 Hint: Consider what happens when you look in a mirror.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has vertices A(2, 2), B(4, 6), C(1, 5). If it is translated by the vector (1, -1) then reflected across the x-axis, what are the final coordinates?

💡 Hint: First apply translation, then reflection. Don't forget how reflection changes the y-coordinates.

Challenge 2 Hard

A rectangle is dilated by a scale factor of 1.5. If its original dimensions are 4 cm by 3 cm, find the new dimensions after dilation.

💡 Hint: Multiply each dimension by the scale factor.

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