Practice - Practice Problems 4.2
Practice Questions
Test your understanding with targeted questions
Triangle ABC has sides 3 cm, 4 cm, and 5 cm. Triangle DEF has sides 6 cm, 8 cm, and 10 cm. Are these triangles similar?
💡 Hint: Check if the ratios of corresponding sides are equal.
Find the scale factor if Triangle PQR has sides 5 cm and 10 cm and Triangle STU has sides 15 cm and 30 cm.
💡 Hint: Divide the corresponding sides to find the scale factor.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is true for similar figures?
💡 Hint: Consider what it means for shapes to be similar.
If two triangles are similar and one has a side length of 8 cm while the other has 4 cm, what is the scale factor from the smaller triangle to the larger triangle?
💡 Hint: Think about the ratio of corresponding sides.
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Challenge Problems
Push your limits with advanced challenges
Two similar triangles have corresponding sides in the ratio 4:7. If the longer side of the larger triangle measures 35 cm, what is the length of the corresponding side in the smaller triangle?
💡 Hint: Use the scale factor to set up a proportion.
A map is drawn with a scale such that 1 cm on the map represents 50 km in reality. If two cities are 3 cm apart on the map, how far apart are they in reality?
💡 Hint: Calculate the real distance using the scale.
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Reference links
Supplementary resources to enhance your learning experience.