Special Type of Quadrilaterals
ICSE · Class 8 · Mathematics
Summary of Special Type of Quadrilaterals for ICSE Class 8 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Special types of quadrilaterals are shapes with special side, angle, and diagonal properties. A quadrilateral is a closed polygon with four sides, and the sum of its interior angles is 360°. The chapter covers trapezium, isosceles trapezium, parallelogram, rectangle, rhombus, square, and kite, along
Key Concepts
A quadrilateral is a closed polygon
A quadrilateral is a closed polygon with four sides, four vertices, four angles, and two diagonals. The sum of its interior angles is 360°.
A trapezium is a quadrilateral
A trapezium is a quadrilateral in which one pair of opposite sides are parallel and the other two sides are non-parallel. If the non-parallel sides ar
In an isosceles trapezium
In an isosceles trapezium, the non-parallel sides are equal. The base angles are equal: angle A equals angle B and angle C equals angle D. Its diagona
A parallelogram is a quadrilateral
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. In a parallelogram, opposite sides are equal, opposite angles a
A quadrilateral is a parallelogram if
A quadrilateral is a parallelogram if opposite sides are parallel, opposite sides are equal, opposite angles are equal, diagonals bisect each other, o
Learning Objectives
- Identify different special quadrilaterals from their side and angle properties.
- Use diagonal properties to prove whether a quadrilateral is a parallelogram, rectangle, rhombus, or square.
- Apply angle-sum and parallel-line properties to solve simple problems.
- Understand how special quadrilaterals are related to one another.
- Use congruence ideas to prove results about diagonals and sides.
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