Geometric Transformations Quiz

Translations

• Translation right 5, up 7: Moves a point (x,y) to (x+5, y+7).
• Translation left 2, down 6: Moves a point (x,y) to (x-2, y-6).

Reflections

• Reflection over the x-axis: Changes the point (x,y) to (x, -y).
• Reflection over the y-axis: Changes the point (x,y) to (-x, y).
• Reflection over the line y = x: Swaps coordinates, changing (x,y) to (y, x).
• Reflection over the line y = -x: Inverts both coordinates, changing (x,y) to (-y, -x).

Rotations

• Rotation 90 degrees clockwise: Changes (x,y) to (y, -x).
• Rotation 90 degrees counterclockwise: Changes (x,y) to (-y, x).
• Rotation 180 degrees: Changes (x,y) to (-x, -y).

Dilations

• Dilation by a scale factor of 3: Enlarges a point (x,y) to (3x, 3y).
• Dilation by a scale factor of 1/2: Reduces a point (x,y) to (x/2, y/2).

Geometric Transformations

• Translation: Described as an isometric slide, maintains shape and size.
• Reflection: Defined as an isometric flip, maintains size while changing orientation.
• Rotation: Described as an isometric turn, maintains distances and angles.
• Dilation: Defined as a stretch or shrink, alters size while maintaining proportion.

Test your knowledge of geometric transformations including translations, reflections, rotations, and dilations. This quiz covers how to apply these transformations to points in a coordinate plane. Perfect for geometry students looking to reinforce their understanding.