Geometric Transformations Flashcards

Grade 8 · Math · Flashcards

Review all four types of transformations and their coordinate rules.

Flashcards

Translation: A slide: every point moves same distance and direction. Rule: (x+a, y+b).
Reflection over x-axis: (x, y) becomes (x, -y)
Reflection over y-axis: (x, y) becomes (-x, y)
Reflection over y=x: (x, y) becomes (y, x)
90 degree CCW rotation: (x, y) becomes (-y, x)
180 degree rotation: (x, y) becomes (-x, -y)
270 degree CCW rotation: (x, y) becomes (y, -x)
Dilation: (x, y) becomes (kx, ky). k>1 enlarges; 0<k<1 shrinks.
Rigid motion (isometry): Transformation preserving size and shape: translations, reflections, rotations.
Pre-image: The original figure BEFORE transformation.
Image: The resulting figure AFTER transformation; labeled with prime (A').
Congruent vs. similar: Rigid motions produce congruent figures. Dilations produce similar figures.