Practice Proportionality In Similar Triangles (3.1.1.2) - Geomerty - ICSE 10 Maths
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Proportionality in Similar Triangles

Practice - Proportionality in Similar Triangles

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the AA condition for triangle similarity?

💡 Hint: Think about how many angles are needed to define a triangle.

Question 2 Easy

How do you denote similar triangles?

💡 Hint: Look at the symbol used to represent similarity.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Triangles are similar if they have equal corresponding angles.

True
False

💡 Hint: Think about what angles tell us about the shape of the triangles.

Question 2

Which of the following is NOT a criterion for triangle similarity?

AAA
SAS
PSP

💡 Hint: Review the established criteria for similarity.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Triangle XYZ has sides measuring 8 cm, 15 cm, and 17 cm. Triangle ABC has sides measuring 4 cm, 7.5 cm, and 8.5 cm. Are these triangles similar? Explain your reasoning.

💡 Hint: Calculate the ratios of the corresponding sides to find proportion.

Challenge 2 Hard

Two triangles have angles measuring 30°, 60°, and 90°. Triangle DEF has side lengths that are half the lengths of corresponding sides in triangle ABC. Prove they are similar and determine the ratios of the sides.

💡 Hint: Use angle similarity to find the corresponding sides' relationships.

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