Shapes and Patterns
CBSE · Class 5 · Mathematics
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Quick Quiz: Shapes and Patterns
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How many squares can fit together around a point without any gaps or overlaps?
A triangle with all three sides equal is called:
How many triangular pieces do you get when you divide a rhombus by drawing both diagonals?
A quadrilateral with opposite sides equal is called a:
Sample Questions
Which of the following shapes can tessellate (fit together without gaps)?
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Regular triangles, Squares, Regular hexagons
Regular triangles (6 × 60° = 360°), squares (4 × 90° = 360°), and hexagons (3 × 120° = 360°) can tessellate because their angles fit perfectly around a point. Pentagons and octagons cannot tessellate alone.
In an isosceles triangle, which of the following are always equal?
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Two sides, Two angles
An isosceles triangle has exactly two equal sides and two equal angles (the base angles). The angles opposite to the equal sides are equal. It's not equilateral (all sides equal).
In a kite shape, which sides are equal?
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Adjacent sides
In a kite, two pairs of adjacent (touching) sides are equal. For example, if sides are numbered 1,2,3,4 going around, then side 1 = side 2 and side 3 = side 4. This is different from parallelograms where opposite sides are equal.
How many regular hexagons can fit around a point without gaps?
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3
Each angle of a regular hexagon is 120°. Around a point, angles must sum to 360°. So 360° ÷ 120° = 3 hexagons can fit around a point. This is why hexagons tessellate perfectly, like in honeycombs.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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