Practice Explanation - 3.1.1 | 3. Geomerty | ICSE Class 10 Maths | Allrounder.ai
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3.1.1 - Explanation

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Learning

Practice Questions

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Question 1

Easy

State whether the following pairs of triangles are similar given their angle measures: Triangle A has angles 30Β°, 60Β°, and 90Β°; Triangle B has angles 30Β°, 60Β°, and 90Β°.

πŸ’‘ Hint: Check if the angles are the same.

Question 2

Easy

If Triangle X and Triangle Y have sides in the ratio 2:3, are they similar given one angle is the same?

πŸ’‘ Hint: Consider the criteria that deals with angles and corresponding sides.

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Interactive Quizzes

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

Question 1

What does AAA stand for in triangle similarity?

πŸ’‘ Hint: Think about how angles can determine if triangles are alike.

Question 2

True or False: If two triangles have two equal angles, they are not similar.

  • True
  • False

πŸ’‘ Hint: Recall the AAA criterion.

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Challenge Problems

Push your limits with challenges.

Question 1

Prove that triangles with sides of lengths 6 cm, 8 cm, and 10 cm are similar to triangles with sides 3 cm, 4 cm, and 5 cm.

πŸ’‘ Hint: Check the ratio of each pair of corresponding sides.

Question 2

Two triangles have sides that are in the ratio of 5:7. If triangle A has two sides measuring 15 cm and 21 cm, what are the sides of triangle B?

πŸ’‘ Hint: Use the ratio to setup equations for scaling the side lengths.

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