Rotating 2D Objects

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What is a 2D object?

Back

A 2D object is a shape that has only two dimensions: length and width, with no depth. Examples include squares, circles, and triangles.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is a 3D object?

Back

A 3D object has three dimensions: length, width, and depth. Examples include cubes, spheres, and cylinders.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What happens when a 2D object is rotated around an axis?

Back

When a 2D object is rotated around an axis, it forms a 3D object. The shape of the 3D object depends on the 2D shape and the axis of rotation.

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CCSS.7.G.A.3

Front

What is the axis of rotation?

Back

The axis of rotation is an imaginary line around which a shape rotates. It can be horizontal, vertical, or at any angle.

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CCSS.HSG.CO.A.4

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What 3D shape is formed by rotating a circle around its diameter?

Back

Rotating a circle around its diameter forms a sphere.

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CCSS.7.G.A.3

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What 3D shape is formed by rotating a rectangle around one of its sides?

Back

Rotating a rectangle around one of its sides forms a cylinder.

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CCSS.7.G.A.3

Front

What is a semi-circle?

Back

A semi-circle is half of a circle, formed by cutting a whole circle along its diameter.

Front

What 3D shape is formed by rotating a semi-circle around its diameter?

Back

Rotating a semi-circle around its diameter forms a hemisphere.

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CCSS.7.G.A.3

Front

What is a crescent shape?

Back

A crescent shape is a shape resembling a segment of a ring or a moon, typically formed by the intersection of two circles.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How can the axis of rotation affect the resulting 3D shape?

Back

The axis of rotation determines the orientation and type of 3D shape formed. Different axes can lead to different shapes even from the same 2D object.

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CCSS.7.G.A.3