Lines, Angles, Polygons & Symmetry - Class 3 Geometry Worksheet PDF

Class 3 Geometry Worksheet explaining types of lines, angles, polygons, and symmetry, with a sample problem to identify if lines are parallel or intersecting.Educational worksheet explaining parallel and intersecting lines with examples, followed by warm-up questions about triangle sides and line types.Class 3 geometry worksheet with a question on identifying symmetrical shape among heart, butterfly, and blob; true or false question about rhombus sides; and a hexagon illustration asking for number of vertices.
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⭐ Answer Key included!

Complete geometry worksheet for Class 3 students covering parallel lines, acute/right/obtuse angles, polygons, and symmetry. 24 questions with real-life examples, pattern recognition, and detailed solutions.

What is Geometry?

Geometry is the study of shapes, sizes, and positions of things!

Types of Lines

Straight Line: Goes on forever in both directions

Line Segment: A line with two end points

Ray: Starts at one point and goes on forever in one direction

Parallel Lines: Two lines that never meet

Intersecting Lines: Two lines that cross each other

Angles

Right Angle: Forms a perfect corner like in a square (90°)

Acute Angle: Smaller than a right angle (less than 90°)

Obtuse Angle: Bigger than a right angle (more than 90°)

Polygons

Triangle: 3 sides

Quadrilateral: 4 sides (square, rectangle, rhombus, trapezium)

Pentagon: 5 sides

Hexagon: 6 sides

Symmetry: When one half of a shape is a mirror image of the other half

Solved Example

Problem: Identify if the lines shown are parallel or intersecting.

Solution:

Example A shows parallel lines because they run alongside each other and never meet.

Example B shows intersecting lines because they cross each other at one point.

Sample Practice Problems

What type of lines are these?

Match the angles with their types (Acute, Right, Obtuse)

Which of these shapes is symmetrical? (Heart, Butterfly, Blob)

Which letter of the English alphabet has a vertical line of symmetry? (A, F, Z)

A clock shows 3:00. What type of angle do the hour and minute hands make?

How many triangles can you find in this figure?

Solve the riddle: I am a polygon with 4 sides. All my sides are equal in length. All my angles are right angles. What shape am I?

Real-life Geometry! Find one object with parallel lines, one object shaped like a rectangle, one object that shows symmetry, and one object with a right angle.

Scoring Guide

20-24 correct: Excellent! Outstanding performance! Start learning about perimeter and area, explore more complex polygons (heptagon, octagon), practice measuring angles with a protractor, and learn about 3D shapes.

15-19 correct: Very Good! Great job! Review the properties of different angles and polygons. Practice identifying symmetry in everyday objects. Draw more geometric shapes to improve accuracy.

10-14 correct: Good Effort! Good start! Work on understanding the difference between parallel and intersecting lines. Learn the properties of basic polygons. Practice recognizing right angles in your surroundings. Draw lines and shapes daily.

0-9 correct: Keep Trying! Don't give up! Learn one concept at a time starting with lines and angles. Use a ruler to draw straight lines. Look for shapes in your environment. Practice identifying corners and sides of shapes.

Tips for Mastering Geometry

Learn the difference between line, line segment, and ray. Practice drawing them with a ruler.

Understand angles: Right angle = 90° (like the corner of a book), Acute angle = less than 90°, Obtuse angle = more than 90°

Remember that polygons are closed shapes. Count their sides: Triangle (3), Quadrilateral (4), Pentagon (5), Hexagon (6)

Test for symmetry by imagining folding a shape in half. If both halves match perfectly, it's symmetrical!

Find geometric shapes in your daily life: parallel lines on railway tracks, rectangles in doors and windows

Practice drawing different shapes, angles, and patterns every day

Learn the family of 4-sided shapes: Square (4 equal sides, 4 right angles), Rectangle (opposite sides equal), Rhombus (4 equal sides), Parallelogram (opposite sides parallel)

Trusted by Parents. Worksheet developed by NIT and IIT Alumni

✅ Curriculum Aligned
✅ Progressive Levels
✅ Free Printable PDF
✅ High quality illustrations
✅ Concept explained
✅ Solved Example
✅ Answer key
✅ Assessing learning using score rubrics
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