Practice - Similarity: Same Shape, Different Size
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Practice Questions
Test your understanding with targeted questions
Identify if the triangles with sides 3 cm, 4 cm and 6 cm, 8 cm are similar.
💡 Hint: Calculate the ratios of corresponding sides.
What is the scale factor of similar rectangles with dimensions 5 cm and 10 cm?
💡 Hint: Divide the sides of the larger rectangle by the smaller.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following statements is true regarding similar shapes?
💡 Hint: Think about the features that define similarity.
True or False: If two shapes have the same shape and different sizes, they are always similar.
💡 Hint: Recall the definition of similarity.
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Challenge Problems
Push your limits with advanced challenges
A triangle has sides of length 12 cm, 16 cm, and 20 cm. Another triangle has a scale factor of 0.75. What are the lengths of the sides of the smaller triangle?
💡 Hint: Multiply each side by 0.75.
Two similar rectangles have areas of 36 cm² and 64 cm². What is the scale factor between them?
💡 Hint: Use the relationship 'Area of Image / Area of Original' for rectangles.
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Reference links
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