Practice Basic Proportionality Theorem (Thales’ Theorem) - 1.6 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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1.6 - Basic Proportionality Theorem (Thales’ Theorem)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If line DE is parallel to side BC in triangle ABC, and AD = 2 cm, DB = 3 cm, find AE if EC = 4 cm.

💡 Hint: Set up the proportion and solve for AE.

Question 2

Easy

In triangle XYZ, if XY = 5 cm and YZ = 12 cm, and line AB is drawn parallel to YZ, divides XZ into segments 3 cm and 9 cm. Confirm if these segments are proportional.

💡 Hint: Reduce the fractions to see if they are equal.

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

What does the Basic Proportionality Theorem state?

💡 Hint: Think about how dividing sides in similar triangles relates.

Question 2

True or False: The segments created from the parallel line must be equal.

  • True
  • False

💡 Hint: Think about ratios rather than equality.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have triangle ABC with angles 40°, 60°, and 80°. A line DE is drawn parallel to side BC, dividing AB and AC at points D and E. Prove that the segments are proportional.

💡 Hint: Remember the properties of similar triangles.

Question 2

Given a triangle with sides 'a', 'b', and 'c', and a parallel line divides it into segments of length 4, and 6 cm, calculate the lengths of all sides if maintained in proportion.

💡 Hint: Establish known values and ratios among segments.

Challenge and get performance evaluation