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Rotating Shapes

Geometry and Measures Rotating Shapes

Courses Overview

🎬 Video Tutorial

(0:01) What is Rotation?: Rotation is a transformation that turns a shape around a fixed point (called the centre of rotation), either clockwise or anticlockwise, by a specific angle (called the angle of rotation).
(0:56) Rotating Shapes Using Tracing Paper: Place tracing paper over the shape, fix it at the center of rotation, trace the shape, then rotate the paper by the required angle. Mark the new points and connect them to get the rotated shape.
(1:40) Rotating Shapes by Drawing Line:
For each vertex, draw a line to the centre of rotation, measure its length, then rotate the line segment by the required angle. Mark the new position and connect all points to form the rotated shape.
(2:28) How to Find the Centre of Rotation: Draw perpendicular bisectors between corresponding points of the original and rotated shapes. The intersection of the bisectors is the centre of rotation.

📂 Revision Cards

Rotation in geometry with examples, including the center of rotation, direction (clockwise or anticlockwise), and angle. — 1) What is Rotation?

Rotating shapes 90 degrees clockwise about point O on a coordinate grid, resulting in shape Q. — 2) Rotating Shapes with a Tracing Paper

Rotating shapes 90° anticlockwise about point O using auxiliary lines, resulting in shape Q, shown on a grid with axes. — 3) Rotating Shapes by Drawing Lines

Rotating triangle P rotated 90° anticlockwise about the (2, 3) to triangle Q, with perpendicular bisectors intersecting at the centre of rotation. — 4) How to Find the Center of Rotation

🍪 Quiz Time - Practice Now!

0%

Rotating Shapes

1 / 6

Q: What is the fixed point around which a shape rotates called?

Vertex

Angle of rotation

Axis

Center of rotation

Feedback: Not quite! The center of rotation is the fixed point around which the shape rotates.

Feedback: Well done! The center of rotation is the fixed point around which the shape rotates.

2 / 6

Q: What does the angle of rotation describe?

The center of rotation

The direction of rotation

How far the shape is rotated

The size of the shape

Feedback: Not quite! The angle of rotation describes how far the shape is rotated, measured in degrees.

Feedback: Well done! The angle of rotation describes how far the shape is rotated, measured in degrees.

3 / 6

Q: To rotate a shape 180° around a fixed point, does the direction of rotation matter?

Yes, it does matter.

It depends on the size of the shape.

No, it does not matter.

It depends on the angle.

Feedback: Not quite! A 180° rotation is the same regardless of the direction of rotation (clockwise or anticlockwise).

Feedback: Well done! A 180° rotation is the same regardless of the direction of rotation (clockwise or anticlockwise).

4 / 6

Q: If you rotate a shape 90° clockwise, then rotate it another 180° clockwise, what is the final position of the shape?

180°

90° clockwise

270° anticlockwise

270° clockwise

Feedback: Not quite! A 90° clockwise followed by 180° clockwise adds up to 270° clockwise.

Feedback: Well done! A 90° clockwise followed by 180° clockwise adds up to 270° clockwise.

5 / 6

Q: What is equivalent to rotating a shape 540° clockwise?

0°

180°

270° anticlockwise

90° clockwise

Feedback: Not quite! A 540° rotation is equivalent to a 180° rotation because when you subtract 360° (one full rotation) from 540°, you are left with 180°.

Feedback: Well done! A 540° rotation is equivalent to a 180° rotation because when you subtract 360° (one full rotation) from 540°, you are left with 180°.

6 / 6

Q: Find the center of Rotation.

(2,2)

(2,3)

(1,3)

(1,2)

Feedback: Not quite! Draw lines connecting corresponding points from the original and rotated shapes and find their perpendicular bisectors. The intersection of these bisectors shows the center of rotation at (1,2). The original shape is rotated 90 degrees anticlockwise about (1,2).

Feedback: Well done! Draw lines connecting corresponding points from the original and rotated shapes and find their perpendicular bisectors. The intersection of these bisectors shows the center of rotation at (1,2). The original shape is rotated 90 degrees anticlockwise about (1,2).

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