Practice Example 4: Similar Triangles Often Appear Nested Or Overlapping (7.2.3)
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Example 4: Similar triangles often appear nested or overlapping

Practice - Example 4: Similar triangles often appear nested or overlapping

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the relationship between similar triangles?

💡 Hint: Think of the angles and ratios between the sides.

Question 2 Easy

If triangle ABC is similar to triangle DEF and AB = 4, DE = 8, what is the scale factor?

💡 Hint: How many times larger is DE compared to AB?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following best defines similar triangles?

A. Triangles with equal area
B. Triangles with equal angles and proportional sides
C. Triangles that are congruent

💡 Hint: Refer to the definitions we've discussed.

Question 2

Is it true or false that two right triangles could be similar based on their angles?

True
False

💡 Hint: Remember, angles dictate similarity.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Triangle LMN is similar to triangle XYZ. If MN = 10 cm, XY = 5 cm, and LZ = 8 cm, calculate the length of XZ.

💡 Hint: Use the proportion of corresponding sides.

Challenge 2 Hard

Two similar triangles have a scale factor of 3:2. If the area of the larger triangle is 72 cm², find the area of the smaller triangle.

💡 Hint: Area scales with the square of the ratio; apply it carefully.

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Reference links

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