Practice - Method 1: Using the Scale Factor
Practice Questions
Test your understanding with targeted questions
Triangle ABC has sides of 3 cm, 4 cm, and 5 cm. Triangle DEF is similar and has a side of 6 cm. What is the scale factor?
💡 Hint: Divide the length of the side of DEF by the corresponding side of ABC.
A rectangle has dimensions 2 cm by 3 cm. If it is enlarged to 4 cm by 6 cm, what is the scale factor?
💡 Hint: Find the ratio of one dimension of the enlarged rectangle to the original.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of scale factor?
💡 Hint: Think about what scale factor tells us when comparing two shapes.
True or False: Corresponding sides of similar shapes are always proportional.
💡 Hint: Recall what it means for shapes to be similar.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
Triangle ABC has sides of 9 cm, 12 cm, and 15 cm. Triangle DEF is similar and has a side of 30 cm. Find the lengths of the other sides in triangle DEF.
💡 Hint: Use the scale factor to calculate the corresponding side lengths.
If you have three similar rectangles, where the side lengths of the smallest rectangle are 4 cm and 6 cm, and the scale factor from the smallest to the largest is 3, what are the lengths of the largest rectangle?
💡 Hint: Apply the scale factor to both sides.
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