Triangles are three-sided polygons with three angles and three vertices. They are classified based on sides as equilateral isosceles or scalene and by angles as acute right or obtuse. Triangles form the foundation of geometry and are used in various fields like construction engineering and design. Their properties include angle sum property and Pythagoras theorem for right triangles. Understanding triangles helps solve real-world problems and strengthens spatial reasoning.
Class 10 Maths Chapter 6 Triangles is a vital topic for the CBSE Exam 2024-25. It covers properties of triangles similarity and congruence criteria and the Pythagoras theorem. Students will explore relationships between sides and angles and solve problems using theorems. This chapter strengthens geometric reasoning and prepares students for advanced concepts in mathematics and real-life applications in architecture and engineering.
Share
Similarity of triangles is based on the principle that when two triangles have the same shape but not necessarily the same size, they are considered similar. This occurs if and only if their corresponding angles are equal. When the angles are equal, the ratios of the lengths of their corresponding sides are also equal (this is known as the Angle-Angle or AA criterion for similarity).
The other options are incorrect because:
– “Their corresponding sides are equal” describes congruence, not similarity.
– “Their perimeters are equal” does not guarantee similarity, as triangles with the same perimeter can have different shapes.
– “Their areas are equal” also does not ensure similarity, as triangles with the same area can have different shapes and dimensions.
Thus, the correct answer is “Their corresponding angles are equal.”
Click here for more:
https://www.tiwariacademy.in/ncert-solutions-class-10-maths-chapter-6/