Practice Invariant Properties (4.1.5.3) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Invariant Properties

Practice - Invariant Properties - 4.1.5.3

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What occurs during a translation?

💡 Hint: Think about sliding something across a table.

Question 2 Easy

What happens during a reflection?

💡 Hint: Think about how your reflection looks in a mirror.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an invariant property during a transformation?

Size
Shape
Orientation
All of the above

💡 Hint: Think about what stays the same in transformations.

Question 2

True or False: A dilation changes both size and shape of a figure.

True
False

💡 Hint: Consider if dimensions change when zooming in or out.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle is reflected across the y-axis, and then translated up 3 units. Describe the transformations and determine the new coordinates if the original vertices were (2, 3), (5, 1), (4, 2).

💡 Hint: First reflect, then adjust the y-coordinates.

Challenge 2 Hard

If a shape undergoes a dilation by a factor of 3 and then a rotation of 180 degrees, what invariant properties are affected?

💡 Hint: Think about which properties change and which stay constant.

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