The co-ordinate diagram below shows an original shape, and its image under four transformations - Junior Cycle Mathematics - Question 1 - 2017
Question 1
The co-ordinate diagram below shows an original shape, and its image under four transformations.
Write A, B, C and D into the appropriate places in the table below,... show full transcript
Worked Solution & Example Answer:The co-ordinate diagram below shows an original shape, and its image under four transformations - Junior Cycle Mathematics - Question 1 - 2017
Step 1
Axial Symmetry
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Answer
The image that results from axial symmetry is Image B. This is because Image B is a mirror reflection of the original shape across the y-axis.
Step 2
Central Symmetry in (0, 0)
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Answer
The image resulting from central symmetry in (0, 0) is Image D. This can be identified as it appears to be rotated around the origin, reflecting the original shape through the center.
Step 3
Rotation about (0, 0)
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The image that results from a rotation about the origin (0, 0) is Image C. This image maintains the shape but is positioned differently due to rotation.
Step 4
Translation
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The image that results from translation is Image A. This image has been shifted to a different location without altering its shape or orientation.
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