The co-ordinate diagram below shows the screen of a digital clock at 15:00 - Junior Cycle Mathematics - Question 3 - 2019
Question 3
The co-ordinate diagram below shows the screen of a digital clock at 15:00.
The images P, Q, S, and T of this screen under four transformations are as follows:
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Worked Solution & Example Answer:The co-ordinate diagram below shows the screen of a digital clock at 15:00 - Junior Cycle Mathematics - Question 3 - 2019
Step 1
Axial symmetry in the x-axis
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Answer
Image S is produced by reflecting Image P across the x-axis. This transformation flips the image upside down, which changes the time display from 15:00 to 00:51.
Step 2
Axial symmetry in the y-axis
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Answer
Image T results from reflecting Image P across the y-axis. This transformation reverses the image left to right, changing the time display from 15:00 to 12:00.
Step 3
Translation
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Answer
Image P remains unchanged, showing 15:00, indicating that no translation occurred; it is simply shifted in position.
Step 4
Central symmetry in (0, 0)
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Answer
Image Q is generated by rotating Image P 180 degrees around the origin. This transformation changes the time from 15:00 to 00:21.
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