Reflection, rotation and translation

Key Notes :

1. Reflection (Flip):

• Definition: A reflection is a mirror image of a shape or object across a line (called the line of reflection).
• How it works: Each point on the object is flipped to the opposite side of the line, maintaining the same distance from the line.
• Example: If you reflect a triangle across a vertical line, the triangle’s orientation changes as though it has been flipped over the line.

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2. Rotation (Turn):

• Definition: A rotation is when a shape or object is turned around a fixed point (called the center of rotation).
• How it works: The shape rotates by a certain degree (e.g., 90°, 180°, or 270°) around the center point without changing its size or shape.
• Direction: Rotation can be clockwise or counterclockwise.
• Example: A square rotated 90° around its center point will still look like a square but will be turned to a new position.

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3. Translation (Slide):

• Definition: A translation is when a shape or object is moved from one place to another without changing its size, shape, or orientation.
• How it works: All points of the shape move the same distance and in the same direction.
• Example: Moving a rectangle 4 units to the right and 2 units up is a translation.

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4. Key Differences:

• Reflection: Creates a mirror image and changes the orientation.
• Rotation: Turns the shape around a point but keeps its orientation relative to the center point.
• Translation: Moves the shape without altering its orientation or size.

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5. Symmetry:

• Reflectional Symmetry: If an object can be reflected across a line and still looks the same, it has reflectional symmetry.
• Rotational Symmetry: If an object can be rotated less than 360° and still looks the same, it has rotational symmetry.

Learn with an example

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