Class 10 Math Triangles MCQ Test

Class 10 Math Triangles MCQ Test: Strengthen your skills with free online multiple-choice questions for CBSE Class 10 Math Chapter 6. Master the properties, theorems, and applications of triangles. Ideal for CBSE exam preparation and competitive tests.

Class 10 Math Triangles MCQ Test Quiz

Time: 10 Minutes for 10 Question.

10th Math: Triangles

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About Triangles MCQ Test

Chapter 6 of the CBSE Class 10 Math curriculum, titled “Triangles,” covers essential properties, theorems, and applications related to triangles. This chapter is fundamental for understanding the various aspects of triangle geometry, including similarity, congruence, and theorems involving angles and sides. The free MCQ quiz provided in this chapter will help students consolidate their understanding and prepare effectively for their CBSE examinations.

Key Concepts Covered:

Types of Triangles:
- Based on Sides:
  - Equilateral Triangle: All three sides and angles are equal. Each angle is 60°.
  - Isosceles Triangle: Two sides are equal, and the angles opposite these sides are also equal.
  - Scalene Triangle: All three sides and angles are different.
- Based on Angles:
  - Acute Triangle: All angles are less than 90°.
  - Obtuse Triangle: One angle is greater than 90°.
  - Right Triangle: One angle is exactly 90°.
Properties of Triangles:
- Angle Sum Property: The sum of the interior angles of a triangle is always 180°.
- Exterior Angle Property: An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
- Congruence of Triangles: Two triangles are congruent if all corresponding sides and angles are equal. Congruence criteria include:
  - SSS (Side-Side-Side): All three sides of one triangle are equal to the corresponding three sides of another triangle.
  - SAS (Side-Angle-Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
  - ASA (Angle-Side-Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
  - AAS (Angle-Angle-Side): Two angles and a non-included side of one triangle are equal to two angles and the corresponding side of another triangle.
Similarity of Triangles:
- Definition: Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
- Similarity Criteria:
  - AAA (Angle-Angle-Angle): If all three angles of one triangle are equal to all three angles of another triangle, the triangles are similar.
  - SSS (Side-Side-Side): If the corresponding sides of two triangles are in proportion, the triangles are similar.
  - SAS (Side-Angle-Side): If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, the triangles are similar.
- Basic Proportionality Theorem (BPT): If a line is drawn parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally.
Pythagorean Theorem:
- Statement: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. $a^2 + b^2 = c^2$ , where $c$ is the hypotenuse.
- Applications: Used to find the length of sides in right-angled triangles and in various practical problems.
Areas of Triangles:
- Area Formula: The area of a triangle can be calculated using the formula $\frac{1}{2} \times \text{base} \times \text{height}$ .
- Heron’s Formula: For a triangle with sides $a$ , $b$ , and $c$ , and semi-perimeter $s = \frac{a + b + c}{2}$ , the area is $\sqrt{s(s – a)(s – b)(s – c)}$ .
Angle Bisector Theorem:
- Statement: The angle bisector of a triangle divides the opposite side into segments that are proportional to the other two sides.

Quiz Structure:

The MCQ quiz for this chapter includes a series of questions designed to test students’ understanding of triangle properties, theorems, similarity, congruence, and applications. These questions cover definitions, proofs, and practical applications of the properties of triangles. The interactive format allows students to practice and assess their knowledge effectively.

Conclusion:

Practicing with the Class 10 Math Triangles MCQ Test Chapter 6 is an excellent way for CBSE students to prepare for their exams. This chapter provides a comprehensive understanding of various properties and theorems related to triangles, which are essential for solving geometry problems. The MCQ quiz helps reinforce these concepts, ensuring students are well-prepared for their academic assessments and competitive exams.

Sanjay Kumar

Math educator (6-12) with an MSc from Delhi University and quiz content creator at QuizRanker.org.