Triangles, Quadrilaterals & 3D Shapes - Class 4 Geometry Worksheet PDF

Complete Class 4 geometry worksheet covering triangle types, quadrilaterals, perimeter calculations, and 3D shapes. 24 problems with real-life applications, formulas, and detailed solutions included.

Advanced Geometry Concepts

Types of Triangles (by sides)

Equilateral Triangle: All 3 sides equal, all angles 60°

Isosceles Triangle: 2 sides equal, 2 angles equal

Scalene Triangle: All sides different, all angles different

Types of Triangles (by angles)

Right-angled Triangle: One angle is 90°

Acute-angled Triangle: All angles less than 90°

Obtuse-angled Triangle: One angle greater than 90°

Special Quadrilaterals

Square: 4 equal sides, 4 right angles

Rectangle: Opposite sides equal, 4 right angles

Rhombus: 4 equal sides, opposite angles equal

Parallelogram: Opposite sides equal and parallel

Trapezium: One pair of parallel sides

3D Shapes (Solids)

Cube: 6 square faces, 12 edges, 8 vertices

Cuboid: 6 rectangular faces, 12 edges, 8 vertices

Sphere: No flat faces, no edges, no vertices

Cylinder: 2 circular faces, 1 curved surface

Cone: 1 circular face, 1 curved surface, 1 vertex

Perimeter

Square: Perimeter = 4 × side

Rectangle: Perimeter = 2 × (length + width)

Solved Example

Problem: Identify the type of triangle based on its sides.

Equilateral: All sides equal (5 cm, 5 cm, 5 cm)

Isosceles: 2 sides equal (6 cm, 6 cm, 4 cm)

Scalene: All sides different (5 cm, 7 cm, 4 cm)

Remember: Equilateral = All Equal, Isosceles = Two Equal, Scalene = All Different

Sample Practice Problems

What is the perimeter of a square with side 5 cm?

Find the perimeter of a rectangle with length 8 cm and width 5 cm.

A square park has a side of 12 meters. What is the perimeter of the park?

A rectangular garden is 15 m long and 8 m wide. A path of 1 m width runs around the outside. What is the perimeter of the outer boundary?

Classify a triangle with two equal sides of 7 cm and one 90° angle by both sides and angles.

A cube has a total edge length of 48 cm. What is the length of one edge?

Real-life Problem: A rectangular playground is 50 m long and 30 m wide. The school wants to put a fence around it. If fencing costs ₹25 per meter, what is the total cost?

Puzzle Challenge: Which quadrilateral has 4 sides, opposite sides are equal and parallel, all angles are right angles, but it is NOT a square?

Scoring Guide

20-24 correct: Excellent! Outstanding performance! Start learning about area calculations, explore more 3D shapes, practice coordinate geometry basics, and learn about angles in polygons.

15-19 correct: Very Good! Review the properties of different types of triangles. Practice perimeter problems daily. Study 3D shapes by looking at objects around you. Master the formulas.

10-14 correct: Good Effort! Work on understanding the difference between types of triangles. Learn perimeter formulas for square and rectangle. Count faces, edges, and vertices of 3D shapes using actual objects.

0-9 correct: Keep Trying! Learn one triangle type at a time using drawings and real objects. Master the perimeter formula for squares first. Hold and examine 3D objects to understand their properties.

Tips for Mastering Advanced Geometry

Triangle Classification: By sides (Equilateral, Isosceles, Scalene) and by angles (Right, Acute, Obtuse). A triangle can be classified in both ways.

Master Perimeter Formulas: Square = 4 × side, Rectangle = 2 × (length + width)

Remember 3D Shapes: Cube (6 faces, 12 edges, 8 vertices), Sphere (0 faces, 0 edges, 0 vertices), Cylinder (2 faces, 0 edges, 0 vertices)

Quadrilateral Family: Square (all sides equal, all angles 90°), Rectangle (opposite sides equal), Rhombus (all sides equal), Parallelogram (opposite sides parallel), Trapezium (one pair parallel)

Use actual objects around you to identify shapes and their properties

Practice drawing different shapes and labeling their properties

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