Transformation Games and Worksheets

Translation Game
Game Modes for Translation Game.
Execution (Apply Warp Rule): You are given a starting point and a rule like (x+2, y-3). You must calculate the final (x, y) coordinates of the destination.
Analysis (Identify the Rule): You see a ship’s original position (ghost ship) and its new position. You must identify the specific translation rule used to move it.
Tactical (Fleet Maneuvers): Instead of a single point, you must analyze how an entire triangle (a “fleet”) moved across the grid.
Elite (Mixed Trials): A random rotation of all three modes.

Reflection Game
Game Modes for Reflection Game
Mirror Basic (Axis Mastery): You will reflect points across the x-axis (the horizontal line) or the y-axis (the vertical line).
Mirror Advanced (Diagonal Shift): You will reflect points across the diagonal line y = x.
Mirror Tactical (Fleet Mirage): You analyze an entire triangle “fleet” being reflected.

Rotation
Mission Modes
Orbital Basic: Practice single-point rotations of 90° (both clockwise and counter-clockwise).
Orbital Advanced: Focus specifically on 180° “Deep Space Flips."
Orbital Tactical: Calculate the new coordinates for an entire triangular squadron.

Function Transformations
Game Modes
Visual Mode: You see the original (gray dashed) and the transformed (neon blue) graphs and must identify the rule.
Text Mode: Asks you to translate between function notation (e.g., f(x-2)) and descriptive language (e.g., “Shift Right 2”).
Mixed Mode: A combination of both.

Printable & Online Transformation Worksheets
Translations
Reflections
Rotations
Dilations

Transformation Games

Transformation Golf

Playable on PCs, Mobiles, etc. Play golf using transformation. Try to get the golf ball into the hole with the least number of moves.

Identify Reflections, Rotations, and Translations

Select the picture that fits the given transformation: reflection, rotation, and translation

Reflection: Find the Coordinates

Find the coordinates of the reflected point

Reflection: Graph the Image

Graph the image of a rectangle after reflection over the x-axis.

Translation: Find the coordinates

Find the image of a translated point.

Translation: Graph the Image

Graph the image of a translated rectangle.

Rotation: Find the coordinates

Find the image of a rotated point.

Dilation: Find the coordinates

Find the image of a dilated image.

Dilation: Graph the Image

Graph the image of a dilated image.

Games/Activities to Explore Transformation

Congruence by Rigid Motions

1) Is there a sequence of rigid motions that maps the blue triangle onto the red triangle?
2) Are the 2 triangles congruent?

Flip Flop

This is a reflection puzzle. The left sandal is reflected across a line drawn between two points in the grid to make a right sandal. Can you move A and B to find the line of reflection? See if you're correct by pressing the Check button.

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