Practice Questions on Triangles in Geometry
Answer the following MCQs (Here only one answer is correct)
1. Which of the following statements is true about an equilateral triangle?
- All angles are equal
- All sides are equal
- One angle is 90 degrees
- It has no equal sides or angles
2. In a right-angled triangle, the side opposite the right angle is called:
- Hypotenuse
- Adjacent side
- Opposite side
- Base
3. What is the sum of the interior angles of a triangle?
- 90 degrees
- 180 degrees
- 270 degrees
- 360 degrees
4. Pythagorean Theorem is applicable to which type of triangle?
- Equilateral triangle
- Isosceles triangle
- Right-angled triangle
- Scalene triangle
5. What is the name of the triangle where all angles are less than 90 degrees?
- Acute-angled triangle
- Right-angled triangle
- Obtuse-angled triangle
- Isosceles triangle
6. In an isosceles triangle, which sides are of equal length?
- Base and height
- Adjacent sides
- Opposite sides
- Base and one of the other two sides
7. The angle sum property of a triangle states that the sum of all angles in a triangle is:
- 90 degrees
- 180 degrees
- 270 degrees
- 360 degrees
8. What is the name of a triangle with all sides of different lengths?
- Equilateral triangle
- Isosceles triangle
- Scalene triangle
- Right-angled triangle
9. The exterior angle of a triangle is equal to the sum of:
- Two interior angles
- Three interior angles
- Four interior angles
- None of the above
10. If one angle of a triangle is 120 degrees, what is the measure of the other two angles, assuming it is not a right-angled triangle?
- 30 degrees each
- 60 degrees each
- 45 degrees each
- 90 degrees each
Triangles in Geometry
Triangles in Geometry: A Triangle is a polygon with three sides and three corners. The corners are also known as vertices, and the sides that connect them are called edges. The interior of a triangle is a two-dimensional region. A triangle is the simplest form of a Polygon.
- Triangles can be classified based on their angles: Acute-angled, Obtuse-angled, and Right-angled.
- Triangles can be classified based on their sides: Equilateral, Isosceles, and Scalene.
Triangles are fundamental geometric shapes that play a crucial role in various fields, from mathematics and architecture to engineering and art. In this comprehensive guide, we delve into the world of triangles, uncovering their diverse properties, types, and real-world applications.
Let’s learn more about what are triangles in maths, their definition, types of triangles, formulas, examples, and practice problems in the article.
Table of Content
- Triangles Definition
- Triangle Shape
- Parts of a Triangle
- Angles in a Triangle
- Examples of Triangles in Geometry
- Properties of Triangles
- Types of Triangles
- Types of Triangles Based on Sides
- Equilateral Triangle
- Properties of Equilateral Triangle
- Equilateral Triangle Formulas
- Isosceles Triangle
- Properties of Isosceles Triangle
- Scalene Triangle
- Properties of Scalene Triangle
- Types of Triangles Based on Angles
- Acute Angled Triangle
- Obtuse Angled Triangle
- Right Angled Triangle
- Angle Sum Property of a Triangle
- Triangle – Line of Symmetry
- Triangle Formulas
- Perimeter of Triangle
- Area of a Triangle
- Area of Triangle Using Heron’s Formula
- Steps to Find Area Using Herons Formula
- Congruent Triangles
- Ways to Prove Triangle Congruence:
- Properties of Congruent Triangles:
- Applications of Congruent Triangles:
- Similar Triangles
- Properties of Similar Triangles
- Formula of Similar Triangles
- Rules of Similar Triangles
- Applications of Similar Triangles
- Triangle Class 9
- Median of Triangle
- Altitude of Triangle
- Centroid of Triangle
- Circumcentre of a Triangle
- Orthocentre of a Triangle
- Incentre of a Triangle
- Fun Facts about Triangles
- Triangles Solved Examples
- Triangles in Geometry – Practice Problems
- Practice Questions on Triangles in Geometry