Practice - Practice Problems 4.1
Practice Questions
Test your understanding with targeted questions
Are two equilateral triangles always similar?
💡 Hint: Think about the properties of equilateral triangles.
Which shape has all sides in proportion but not angles? A square and a rectangle.
💡 Hint: Comparative angles and ratios can help clarify this.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Are similar shapes defined by having equal corresponding angles?
💡 Hint: Consider the definition of similarity.
What is the scale factor if Triangle ABC (sides 2, 3, 4) is similar to Triangle DEF (sides 4, 6, 8)?
💡 Hint: Find the ratio for one pair of corresponding sides.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider two triangles with sides measuring 3 cm, 4 cm, and 5 cm for triangle MNO and 6 cm, 8 cm, and 10 cm for triangle PQR. Are they similar? Justify your answer with calculations.
💡 Hint: Calculate side ratios to confirm.
A triangle has sides of 5 cm, 12 cm, and 13 cm. If another triangle has one side of 10 cm but is not confirmed as similar, how can you find if it is? What measurements should you check?
💡 Hint: Check both angles and side ratios.
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Reference links
Supplementary resources to enhance your learning experience.