Plane Worksheet: A structured set of exercises designed to reinforce understanding of flat, two-dimensional shapes and their properties.
Plane Figure: A flat, two-dimensional shape that exists on a plane (flat surface).
2D Shape: A shape that has only length and width, but no depth.
Side: One of the straight lines that make up a shape.
Vertex (plural: vertices): A corner where two sides meet.
Angle: The space between two connected sides, measured in degrees.
Right angle: An angle that measures exactly 90° (like the corner of a square).
Parallel lines: Lines that never meet, always stay the same distance apart.
• Plane figures are flat (2-dimensional)
• They have length and width only
• They exist on a flat surface (plane)
• They have boundaries made of lines or curves
• They enclose an area
• They can be measured in terms of perimeter and area
Identification Exercises: Naming shapes based on their properties
Measurement Problems: Calculating perimeter and area
Classification Tasks: Grouping shapes by common properties
Comparison Activities: Determining similarities and differences
Problem Solving: Applying geometric concepts to real-world scenarios
• Perimeter: Think "PERI-meter" - it goes AROUND the edge like a fence
• Area: Think "A-rea" - it covers the ENTIRE space inside
• Plane: Think "FLAT" - like an airplane wing (but flat!)
• 2D: Two Dimensions - Length and Width only
• Quadrilateral: Quad means 4, so 4 sides
Question: Count the sides of each shape and write the name.
4 right angles
Answer: Square
Question: Find the perimeter of a rectangle with length 6 cm and width 4 cm.
Solution: Perimeter = 2 × (6 + 4) = 20 cm
Answer: 20 cm
Question: What is the area of a square with sides of 5 inches?
Solution: Area = 5 × 5 = 25 square inches
Answer: 25 square inches
Question: A shape has 4 equal sides but no right angles. What is it?
Solution: 4 equal sides + no right angles = Rhombus
Answer: Rhombus
- Read instructions carefully: Understand what each exercise requires
- Examine shapes closely: Count sides, measure angles, observe properties
- Apply formulas: Use perimeter and area calculations as needed
- Write clearly: Record answers legibly in designated spaces
- Check your work: Verify calculations and answers
- Ask for help: When stuck, seek assistance from teacher or parent
Exercise: A rectangular garden has a perimeter of 40 meters. If the length is 12 meters, what is the width?
Perimeter = 2 × (length + width)
40 = 2 × (12 + width)
40 = 24 + 2 × width
40 - 24 = 2 × width
16 = 2 × width
width = 8 meters
Exercise: Which has a larger area: a square with sides of 6 cm or a rectangle with sides of 5 cm and 7 cm?
Area of square = 6 × 6 = 36 square cm
Area of rectangle = 5 × 7 = 35 square cm
36 > 35, so the square has a larger area.
Exercise: A shape has 4 sides. Two sides are 8 cm long and two sides are 4 cm long. The angles are all 90°. What shape is it and what is its perimeter?
• 4 sides (quadrilateral)
• Two pairs of equal sides (8 cm and 4 cm)
• All angles are 90°
A quadrilateral with opposite sides equal and all angles 90° is a rectangle.
Perimeter = 2 × (8 + 4) = 2 × 12 = 24 cm