Mini Maths: Transformations Overview

Introduction to Transformations

• Transformations change a shape's size or position.
• Four types of transformations:
  1. Translation
  2. Rotation
  3. Reflection
  4. Enlargement

Translation

• Changes the shape's position.
• Can move left, right, up, or down.
• Movements measured in units.
• Describing Translations:
  • Use a vertex to count horizontal and vertical unit changes.
  • Vectors can also describe translations.

Rotation

• Changes the shape's position.
• Describing Rotations:
  • Angle of rotation.
  • Direction of rotation.
  • Center of rotation.
• Tracing paper can help identify the rotation point.

Reflection

• Changes the shape's position.
• Describing Reflections:
  • Use the equation of the line of reflection.
• The line acts as a mirror; each vertex of the new shape is equidistant from the mirror line as the original.

Enlargement

• Changes the shape's size.
• Describing Enlargements:
  • Scale factor.
  • Center of enlargement.
• Finding the Scale Factor:
  • Measure and compare side lengths of new vs. old shapes.
• Finding the Center of Enlargement:
  • Draw lines from corresponding vertices of new and old shapes.
  • The point where lines intersect is the center.

Practice Questions

• Encouraged to pause and solve practice questions.

Conclusion

• Follow for more maths videos.