Practice - Example 4: Similar triangles often appear nested or overlapping
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Practice Questions
Test your understanding with targeted questions
What is the relationship between similar triangles?
💡 Hint: Think of the angles and ratios between the sides.
If triangle ABC is similar to triangle DEF and AB = 4, DE = 8, what is the scale factor?
💡 Hint: How many times larger is DE compared to AB?
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following best defines similar triangles?
💡 Hint: Refer to the definitions we've discussed.
Is it true or false that two right triangles could be similar based on their angles?
💡 Hint: Remember, angles dictate similarity.
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Challenge Problems
Push your limits with advanced challenges
Triangle LMN is similar to triangle XYZ. If MN = 10 cm, XY = 5 cm, and LZ = 8 cm, calculate the length of XZ.
💡 Hint: Use the proportion of corresponding sides.
Two similar triangles have a scale factor of 3:2. If the area of the larger triangle is 72 cm², find the area of the smaller triangle.
💡 Hint: Area scales with the square of the ratio; apply it carefully.
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