Practice Similarity (∼) - 5 | 1. Properties of Triangles | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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5 - Similarity (∼)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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.

Question 2

Easy

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

When two triangles are similar, what is true about their angles?

  • They are equal
  • They are different
  • They are the same size

💡 Hint: Consider the definition of similar triangles.

Question 2

If two triangles have a corresponding side ratio of 3:5, what can we conclude about their areas?

  • In the ratio of 3:5
  • In the ratio of 9:25
  • Cannot be determined

💡 Hint: Remember: Area is related to the square of the side lengths.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation