Class 10 Mathematics Chapter 6: Triangles — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 6: Triangles. Try the solved questions below, then take a free test with instant marking and explanations.
62 questions24 easy, 28 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Two figures having the same shape but not necessarily the same size are called ______.
- similar figures
- congruent figures
- equal figures
- regular figures
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Answer: A. similar figures
Why: Congruent figures have the same shape and size; similar ones need only the same shape. [p.73]
Why: Congruent figures have the same shape and size; similar ones need only the same shape. [p.73]
Q2. Which statement is the Basic Proportionality Theorem (Theorem 6.1)?
- A line drawn parallel to one side of a triangle, meeting the other two sides at distinct points, divides those sides in the same ratio
- The line joining the mid-points of two sides is half the third side
- The angles opposite equal sides are equal
- The sum of the angles of a triangle is 180°
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Answer: A. A line drawn parallel to one side of a triangle, meeting the other two sides at distinct points, divides those sides in the same ratio
Why: This is Theorem 6.1, also called Thales theorem. [p.80]
Why: This is Theorem 6.1, also called Thales theorem. [p.80]
Q3. All circles are ______ (congruent / similar).
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Answer: similar
Why: Circles of different radii have the same shape but not the same size. [p.78]
Why: Circles of different radii have the same shape but not the same size. [p.78]
Q4. The common ratio of the corresponding sides of two similar polygons is called the ______ factor.
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Answer: scale
Why: It is also called the Representative Fraction and is used for maps and blueprints. [p.76]
Why: It is also called the Representative Fraction and is used for maps and blueprints. [p.76]
Q5. Which Greek mathematician stated that the ratio of any two corresponding sides of two equiangular triangles is always the same?
- Thales
- Euclid
- Pythagoras
- Archimedes
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Answer: A. Thales
Why: The Basic Proportionality Theorem is also known as Thales theorem. [p.79]
Why: The Basic Proportionality Theorem is also known as Thales theorem. [p.79]
Q6. All squares are similar.
True or false?
Show answer
Answer: True
Why: All squares have equal angles (90°) and sides in the same ratio. [p.78]
Why: All squares have equal angles (90°) and sides in the same ratio. [p.78]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 6: Triangles?
62 questions (24 easy, 28 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.