MCQ on Triangles | Class 9 Mathematics Chapter 7

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 7. The name of the chapter is “Triangles”. So, basically, this post contains 30 MCQs on Triangles. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

Congruence of Triangles
Criteria for Congruence
SAS (Side-Angle-Side) Congruence Rule
ASA (Angle-Side-Angle) Congruence Rule
AAS (Angle-Angle-Side) Congruence Rule
SSS (Side-Side-Side) Congruence Rule
RHS (Right angle-Hypotenuse-Side) Congruence Rule
Properties of Triangles, etc.

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Triangles for Class 9 Maths Chapter 7

1. What does the term ‘congruent’ mean in geometry?

A. Similar shapes B. Equal in shape and size C. Having the same perimeter D. Having the same area

2. In the SAS (Side-Angle-Side) congruence rule, what must be true about the angles?

A. Any two angles must be equal B. The angle must be between the two equal sides C. The angles can be at any position D. One angle must be 90 degrees

3. What is an isosceles triangle?

A. A triangle with all sides equal B. A triangle with two sides equal C. A triangle with all angles equal D. A triangle with one side longer than others

4. In an isosceles triangle, what is true about the base angles?

A. They are always 45 degrees B. They are always different C. They are equal D. They depend on the height of the triangle

5. Which congruence rule uses two angles and the included side?

A. SSS B. SAS C. RHS D. ASA

6. In the RHS congruence rule, what type of triangles are considered?

A. Equilateral triangles B. Right-angled triangles C. Isosceles triangles D. Scalene triangles

7. What is true about the angles of an equilateral triangle?

A. 30 degrees each B. 60 degrees each C. 45 degrees each D. 90 degrees each

8. If the sides of two triangles are equal in order, which congruence rule applies?

A. SAS B. SSS C. ASA D. AAS

9. In an isosceles triangle, what is true about the base angles compared to the vertex angle?

A. Base angles are equal and less than vertex angle B. Base angles are unequal C. Base angles are always 45 degrees D. Vertex angle is always smallest

10. When can three equal angles of triangles NOT guarantee congruence?

A. When sides are also equal B. Always C. When one side is specified D. When triangles are similar

11. In the ASA congruence rule, where must the equal side be located?

A. Between the two equal angles B. At the base of the triangle C. At the vertex of the triangle D. Opposite to the equal angles

12. What does CPCT stand for in triangle congruence?

A. Completely Proven Congruent Triangles B. Correct Proof of Congruent Triangles C. Corresponding Parts of Congruent Triangles D. Congruent Parts of Comparable Triangles

13. What characterizes a right-angled triangle?

A. All sides equal B. No right angle C. One 90-degree angle D. Two 45-degree angles

14. In an isosceles triangle, if two sides are equal, what must be true about those sides?

A. Opposite angles are equal B. Sides can be at any position C. They must be base sides D. They determine triangle’s height

15. What is a key requirement in the SAS congruence rule?

A. Any two sides must be equal B. The equal angle must be between the equal sides C. Sides can be at any position D. Only hypotenuse matters

16. What makes two triangles congruent?

A. Similar shape B. Equal sides and angles C. Same perimeter D. Same area

17. In an equilateral triangle, how do the sides relate?

A. One side longer than others B. Two sides equal C. All sides equal D. Sides can vary

18. What does the AAS congruence rule involve?

A. Two angles and a non-included side B. Three equal sides C. Equal hypotenuse D. Base angles of triangle

19. What is a unique property of an isosceles triangle’s base angles?

A. They are always 45 degrees B. They are equal C. They are complementary D. They are supplementary

20. In the RHS congruence rule, which two specific elements must be equal?

A. Base angles B. Base sides C. Vertex angle D. Hypotenuse and one side

21. What defines the vertex of a triangle?

A. Longest side B. Point where two sides meet C. Center of triangle D. Midpoint of base

22. Why can’t three equal angles guarantee triangle congruence?

A. Angles change shape B. Triangles can have different side lengths C. Angle measurement is unreliable D. Triangles must be similar

23. What theorem relates sides to angles in an isosceles triangle?

A. Pythagorean theorem B. Angle bisector theorem C. Sides opposite equal angles are equal D. Median theorem

24. What is another name for an altitude in a triangle?

A. Median B. Perpendicular C. Height D. Base line

25. In the SSS congruence rule, what must be true about the sides?

A. Three unique lengths B. All three sides must be equal in length between the two triangles C. Two sides must be equal D. One side must be longer

26. What is the sum of angles in any triangle?

A. 90 degrees B. 180 degrees C. 270 degrees D. 360 degrees

27. In an equilateral triangle, what is true about its median?

A. It is always shorter than sides B. It cannot exist C. It bisects the side and is perpendicular to it D. It is parallel to base

28. What does the term ‘vertex’ refer to in a triangle?

A. Longest side B. Midpoint of base C. Point where two sides meet D. Center of triangle

29. In an isosceles triangle, where must the line of symmetry be located?

A. Perpendicular to base, passing through vertex B. Parallel to base C. At an angle to base D. Coinciding with base

30. What makes the AAS congruence rule different from other rules?

A. Uses three sides B. Uses two sides C. Needs right angle D. Uses two angles and a non-included side

Review Your Answers Above.

MCQ on Number Systems | Class 9 Mathematics Chapter 1
MCQ on Polynomials | Class 9 Mathematics Chapter 2
MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3
MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4
MCQ on Introduction to Euclid’s Geometry | Class 9 Mathematics Chapter 5
MCQ on Lines and Angles | Class 9 Mathematics Chapter 6

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about Class 9 Mathematics Chapter 7 (Triangles) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

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