Practice Mid-point Theorem (6) - Chapter 3 : Quadrilaterals - CBSE Class 9 Maths
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Mid-point Theorem

Practice - Mid-point Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify the mid-points of sides AB and AC of triangle ABC and state the result of the Mid-point Theorem.

💡 Hint: Focus on identifying the triangle's midpoints and using the theorem.

Question 2 Easy

In triangle XYZ, if XZ = 8 cm, what is the length of the line segment joining the midpoints of XY and XZ?

💡 Hint: Use the Mid-point Theorem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Mid-point Theorem state?

A segment joining mid-points is equal to the third side.
A segment joining mid-points is parallel to the third side and half its length.
A segment joining mid-points is longer than the third side.

💡 Hint: Think about what happens when you connect mid-points.

Question 2

True or False: The Mid-point Theorem only applies to right triangles.

True
False

💡 Hint: Recall the general definition of triangles.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider triangle DEF with D and E being midpoints. If DF = 12 cm and DE = 6 cm, show how this applies to the Mid-point Theorem.

💡 Hint: Cite the Mid-point Theorem for conclusions.

Challenge 2 Hard

In quadrilateral GHIJ, if the midpoints of sides GH and IJ are connected, analyze how triangle properties might apply.

💡 Hint: Consider how quadrilaterals work with triangle properties.

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Reference links

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