Practice Practice Problems 1.4 (4.1.6.6) - Unit 4: Transformations, Congruence & Similarity: Shaping and Reshaping Space
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Practice Problems 1.4

Practice - Practice Problems 1.4

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Enlarge triangle XYZ with vertices X(0, 0), Y(2, 0), Z(0, 3) by a scale factor of 2. What are the new coordinates?

💡 Hint: Multiply each coordinate by the scale factor.

Question 2 Easy

What happens to a shape when you apply a scale factor of 1?

💡 Hint: Think about what the scale factor signifies.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of applying a scale factor of 2 to point A(1, 2)?

A'(1
2)
A'(2
4)
A'(3
5)

💡 Hint: Remember the scale factor modifies each point.

Question 2

Is it true that a scale factor of less than 1 reduces the size of a shape?

True
False

💡 Hint: Think about how scaling affects dimensions.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Enlarge a triangle with vertices P(2, 3), Q(4, 5), and R(6, 7) by a scale factor of -2 and determine the new positions.

💡 Hint: Remember to multiply by -2 and think about the negative scale's flipping effect.

Challenge 2 Hard

A trapezoid has vertices A(1, 1), B(5, 1), C(4, 4), D(2, 4). Enlarge it by a scale factor of 2. What will be the area of the new trapezoid compared to the original?

💡 Hint: Consider the geometry of the shape first to find the area before enlargement, then apply the scaling.

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