Practice Explanation (3.1.1) - Geomerty - ICSE 10 Maths
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Explanation

Practice - Explanation - 3.1.1

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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 30°, 60°, and 90°; Triangle B has angles 30°, 60°, and 90°.

💡 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?

💡 Hint: Consider the criteria that deals with angles and corresponding sides.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does AAA stand for in triangle similarity?

💡 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

💡 Hint: Recall the AAA criterion.

2 more questions available

Challenge Problems

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Challenge 1 Hard

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.

💡 Hint: Check the ratio of each pair of corresponding sides.

Challenge 2 Hard

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?

💡 Hint: Use the ratio to setup equations for scaling the side lengths.

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