Practice Invariant Properties (4.1.6.3) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Invariant Properties

Practice - Invariant Properties - 4.1.6.3

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to the size and shape of a figure during a translation?

💡 Hint: Think about moving an object without changing its dimensions.

Question 2 Easy

During a reflection, what aspect of the shape changes?

💡 Hint: Consider how a mirror reflects an image.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What remains unchanged during a translation?

Size and shape
Orientation
Both size and shape

💡 Hint: Focus on the definition of translation in geometry.

Question 2

True or False: Reflection preserves all properties of a geometric figure.

True
False

💡 Hint: Consider how a reflection alters the position of points.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A square is rotated 180 degrees around its center. If its sides are 4 cm, what are its invariant properties after the transformation?

💡 Hint: Reflect on properties that are fixed during rotation.

Challenge 2 Hard

If you translate a hexagon rightward by 5 units and upward by 3, how do its invariant properties reflect in its new position?

💡 Hint: Consider how translations strictly affect position while keeping shape and size.

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