Emek and Luna climbed a chain of forgotten mountain signal stations where mechanical panels had shifted over time. Each station could transmit a message only when its symbol matched the reference design. Some panels required a translation to align with guide marks, others needed a rotation, and several had to be reflected across a marked line. At each station, they compared the possible transformations before choosing the correct one. As every symbol was realigned, the communication route reopened across the valley, allowing the restored network to carry messages once again.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
The symbol's orientation is already correct, so it only needs to slide.
At one signal station, a symbol has the correct orientation but is 4 units left and 3 units below the reference design. Which transformation should Emek and Luna use?
Translate 4 units right and 3 units upRotate 90° clockwiseReflect across a vertical lineTranslate 4 units left and 3 units downCorrect! Translating 4 units right and 3 units up aligns the symbol with the reference.
Try again. Choose a transformation that changes position without changing orientation.
Next🎉 Congrats! You got this question!
Hint
Apply the translation first. A reflection across the x-axis does not change the x-coordinate.
A point on one panel is located at (2, 5). Emek translates the panel 6 units to the right and then reflects it across the x-axis. What is the x-coordinate of the final image of the point?
Correct! The final x-coordinate is 8.
Apply the transformations in order and track how each one affects the x-coordinate.
Next🎉 Congrats! You got this question!
Hint
Compare the signs of the x- and y-coordinates before and after the transformation.
At another station, a triangular symbol must move from points (1, 1), (3, 1), and (1, 4) to points (-1, 1), (-3, 1), and (-1, 4). Which transformation correctly realigns the symbol?
A translation 2 units leftA 90° clockwise rotation about the originA reflection across the y-axisA reflection across the x-axisCorrect! The x-coordinates change signs while the y-coordinates stay the same, showing a reflection across the y-axis.
Try again. Look for the transformation that changes each x-coordinate to its opposite.
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🎉 Congrats! You finished this challenge set!
