Practice - Similarity (∼)
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Practice Questions
Test your understanding with targeted questions
Identify whether the following pairs of triangles are similar. Triangle ABC with angles of 30°, 60°, 90° and Triangle DEF with angles of 30°, 60°, 90°.
💡 Hint: Look for equal angles.
Is it true that if two triangles have two equal angles, their corresponding sides must also be in the same ratio?
💡 Hint: Consider the definition of similar triangles.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
When two triangles are similar, what is true about their angles?
💡 Hint: Consider the definition of similar triangles.
If two triangles have a corresponding side ratio of 3:5, what can we conclude about their areas?
💡 Hint: Remember: Area is related to the square of the side lengths.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Two triangles have their angles measuring 45°, 45°, and 90°. Triangle XYZ has a hypotenuse of 10 cm. If triangle ABC has a hypotenuse of 5 cm, assess if they are similar and reason out your answer.
💡 Hint: Evaluate the angles and subsequently the ratios.
If triangle DEF has sides measuring 20 cm, 15 cm, and 25 cm, and triangle GHI is similar to triangle DEF with one side measuring 10 cm, find the lengths of the other two sides.
💡 Hint: Use the side ratios to find the remaining sides in triangle GHI.
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