Practice - Using Similarity to Find Unknown Lengths in 2D Shapes
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Practice Questions
Test your understanding with targeted questions
In triangle ABC and triangle DEF, AB = 3 cm and DE = 9 cm. What is the scale factor?
💡 Hint: Divide DE by AB.
If triangle GHI is similar to triangle JKL and GH = 8 cm, JK = 4 cm, what is the ratio of their corresponding sides?
💡 Hint: Find the scale factor by dividing GH by JK.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a scale factor?
💡 Hint: Think of how much larger or smaller one shape is compared to another.
Two shapes are similar if they have equal corresponding angles and their sides are in proportion.
💡 Hint: Remember the conditions for similarity.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Triangle ABC and triangle DEF are similar. If the area of ABC is 50 sq cm and the area of DEF is 200 sq cm, what is the scale factor?
💡 Hint: Remember that the area ratio relates to the square of the scale factor.
A rectangular park is 20 meters long and 15 meters wide. A model of the park is built in a 1:10 scale. What are the dimensions of the model?
💡 Hint: Divide the dimensions of the park by the scale factor.
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