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Shapes and Properties

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Shapes and Properties

Shapes and Properties

Geometric shapes illustration

📐 Part 1: Identifying Shapes by Properties

1. Circle the correct shape name for each description:

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

Parallelogram

Trapezium

Kite

Triangle

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

Parallelogram

Trapezium

Kite

Rectangle

c) A quadrilateral with two pairs of parallel sides:

Parallelogram

Trapezium

Kite

Triangle

2. Check all the properties that apply to an equilateral triangle:

All sides are equal

All angles are 60°

Has 3 lines of symmetry

Has parallel sides

All angles are acute

📏 Part 2: Measuring and Labelling

3. Draw and label a parallelogram with the following measurements:

• Two sides of 6 cm each
• Two sides of 4 cm each
• Label all sides with their lengths
• Mark any parallel sides with arrows

4. Draw an isosceles triangle and label:

• The two equal sides (each 5 cm)
• The base (3 cm)
• Mark the equal angles with the same symbol

5. Construct a kite and measure its properties:

Draw a kite, then measure and record:

Length of longer pair of sides: _______ cm

Length of shorter pair of sides: _______ cm

Number of right angles: _______

🪞 Part 3: Lines of Symmetry

6. Draw all lines of symmetry on each shape below:

Hint: Use tracing paper or imagine folding the shape to check your lines

a) Regular hexagon:

Number of lines of symmetry: _______

b) Isosceles triangle:

Number of lines of symmetry: _______

c) Rectangle:

Number of lines of symmetry: _______

7. Which of these shapes has NO lines of symmetry? Circle your answer:

Scalene triangle

Square

Regular pentagon

Rhombus

📝 Part 4: Mathematical Language and Properties

8. Match each shape with its key property:
1. Trapezium
2. Rhombus
3. Right-angled triangle
4. Kite
A. Has one 90° angle
B. All sides equal, opposite sides parallel
C. Two pairs of adjacent equal sides
D. Exactly one pair of parallel sides
9. Fill in the blanks using correct mathematical language:

A parallelogram has _______ pairs of parallel sides. The opposite sides are _______ in length. The opposite angles are _______. A rectangle is a special type of _______ because all its angles are _______ angles.

10. Describe the properties of a square using mathematical language:

🔍 Part 5: Problem Solving and Reflection

11. A shape has 4 sides, 2 pairs of parallel sides, and 4 lines of symmetry. What shape is it?
12. Explain how you would use a mirror to check if a shape has a line of symmetry:
13. Draw a quadrilateral that is NOT a parallelogram, kite, or trapezium:

Explain why your shape doesn't fit into these categories:

14. Reflection: What is one new thing you learned about shapes and their properties today?

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