Triangles
ICSE · Class 7 · Mathematics
Summary of Triangles for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.
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Overview
A triangle is a closed figure with 3 sides, 3 angles, and 3 vertices. Its six parts are the three sides and the three angles. In triangle ABC, vertex A is opposite side BC, vertex B is opposite side AC, and vertex C is opposite side AB. The chapter covers the angle sum property, exterior angles, and
Key Concepts
A triangle is a closed figure
A triangle is a closed figure having 3 sides. It has 3 non-collinear points, 3 sides, 3 angles, and 3 vertices. The vertices are the points where two
The angles inside a triangle
The angles inside a triangle are its interior angles. The sum of interior angles of a triangle is always 180°.
When one side of a triangle
When one side of a triangle is extended, the angle formed outside the triangle at that vertex is an exterior angle. At each vertex, the exterior angle
The two interior angles opposite
The two interior angles opposite to an exterior angle are called its interior opposite angles. An exterior angle of a triangle is equal to the sum of
An acute angled triangle has all
An acute angled triangle has all angles less than 90°. A right angled triangle has one angle equal to 90°. An obtuse angled triangle has one angle mor
Learning Objectives
- Identify the parts of a triangle: sides, angles, and vertices
- Use the angle sum property of a triangle
- Understand exterior angles and interior opposite angles
- Classify triangles by sides and by angles
- Use properties of isosceles and equilateral triangles
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