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Shapes and Properties Worksheet

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Shapes and Properties Worksheet worksheet preview
Shapes and Properties Worksheet

Shapes and Properties Worksheet

Geometric shapes illustration

📐 Part 1: Shape Identification

1. Circle the correct name for each shape described:

a) A quadrilateral with exactly one pair of parallel sides:

Parallelogram

Trapezium

Kite

Triangle

b) A quadrilateral with two pairs of adjacent sides that are equal:

Parallelogram

Trapezium

Kite

Triangle

c) A quadrilateral with two pairs of parallel sides:

Parallelogram

Trapezium

Kite

Triangle

🔍 Part 2: Properties Matching

2. Match each shape with its correct properties:
1. Equilateral Triangle
2. Kite
3. Trapezium
4. Parallelogram
A. One pair of parallel sides
B. Three equal sides and three equal angles
C. Two pairs of parallel sides
D. Two pairs of adjacent equal sides

📏 Part 3: Lines of Symmetry

3. How many lines of symmetry does each shape have? Fill in the blanks:

a) Equilateral triangle: _______ lines of symmetry

b) Isosceles triangle: _______ line(s) of symmetry

c) Scalene triangle: _______ lines of symmetry

d) Kite: _______ line(s) of symmetry

e) Regular parallelogram (rectangle): _______ lines of symmetry

4. Draw the lines of symmetry on the shapes below:

Use tracing paper or a mirror to help you find the lines of symmetry.

🧮 Part 4: Angle Properties

5. Check all the angle types that can be found in each shape:

Scalene Triangle:

Right angle (90°)

Acute angle (less than 90°)

Obtuse angle (greater than 90°)

Parallelogram:

Right angle (90°)

Acute angle (less than 90°)

Obtuse angle (greater than 90°)

6. True or False? Circle your answer:

a) The sum of angles in any triangle is always 180°: TRUE / FALSE

b) A kite always has four right angles: TRUE / FALSE

c) Opposite angles in a parallelogram are equal: TRUE / FALSE

💭 Part 5: Reasoning Questions

7. Explain why a square is a special type of parallelogram:
8. A quadrilateral has exactly one line of symmetry and two pairs of adjacent equal sides. What shape is it? Explain your reasoning:
9. Look at the properties below and identify which shape they describe:

• Four sides

• One pair of parallel sides

• Two right angles

• No lines of symmetry

This shape is a: ________________

10. Mathematical Communication: Use correct mathematical terminology to describe the differences between an isosceles triangle and an equilateral triangle:

🎨 Part 6: Drawing and Construction

11. Using a ruler and protractor, draw the following shapes in the space below:

a) An isosceles triangle with a base of 6 cm

b) A kite with one line of symmetry

12. Reflection: What is the most important property that helps you identify each shape? Explain your thinking:

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