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Geometric Shapes

12 questions · Maths & Logic

Geometric shapes are everywhere once you start to notice them: in road signs, in honeycomb patterns, in a football and in the floor plan of every house. The ancient Greeks already studied their properties, and to this day they form the alphabet of geometry. Some you recognise at a glance, while others differ only in fine details such as angles or side lengths. This pack leads through the most important flat shapes and polygons: recognise the square with four equal sides and the rectangle, the triangle and the round circle, the pentagon, the hexagon and the octagon, the slanted parallelogram and the rhombus, the trapezium with just one pair of parallel sides, the oval-stretched ellipse and the kite: recognise them by their corners, sides and symmetries, and afterwards look around the world with new eyes, because suddenly you will see shapes everywhere. From the tile pattern in the bathroom to the sign at the crossroads, the world turns into one big geometry book just waiting to be read.

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All questions with answers

Which shape has four equal sides and all right angles?

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Square

It is a special case of the rectangle.

💡 Did you know? All four corners are 90°.

Which shape has four right angles but not necessarily equal sides?

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Rectangle

Opposite sides are equal.

💡 Did you know? A sheet of paper is a rectangle.

Which shape has three corners and three sides?

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Triangle

Its interior angles add up to 180°.

💡 Did you know? It is the most stable basic shape in building.

Which shape is round, with all edge points equidistant from the centre?

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Circle

The distance to the centre is the radius.

💡 Did you know? It has no corners.

What is a polygon with five corners called?

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Pentagon

The US defence building has this shape.

💡 Did you know? “Penta” is Greek for “five”.

What is a polygon with six corners called?

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Hexagon

Honeycombs are hexagonal.

💡 Did you know? Hexagons tile a plane without gaps.

What is a polygon with eight corners called?

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Octagon

The stop sign is octagonal.

💡 Did you know? “Octo” is Greek for “eight”.

Which shape has two pairs of opposite sides that never meet, but no right angles (a “slanted rectangle”)?

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Parallelogram

Opposite sides are equal and parallel.

💡 Did you know? Rectangle and rhombus are special cases.

Which shape has four equal sides but slanted angles?

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Rhombus

It looks like a tilted square.

💡 Did you know? The diamond in cards is a rhombus.

Which shape has exactly one pair of parallel sides?

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Trapezium

The two parallel sides differ in length.

💡 Did you know? Many bridge supports have this shape.

What is a squashed, oval circle called?

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Ellipse

Planets orbit the Sun in ellipses.

💡 Did you know? It has two “foci”.

What is the four-sided shape of two isosceles triangles base to base, like a child's toy in the autumn wind, called?

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Kite

Two pairs of adjacent sides are equal.

💡 Did you know? Its diagonals are perpendicular.

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