The diagram below shows the letter F on the co-ordinate plane - Junior Cycle Mathematics - Question 10 - 2012
Question 10
The diagram below shows the letter F on the co-ordinate plane.
(a) Draw in the image of the letter F under an axial symmetry in the y-axis.
(b) Write down the coor... show full transcript
Worked Solution & Example Answer:The diagram below shows the letter F on the co-ordinate plane - Junior Cycle Mathematics - Question 10 - 2012
Step 1
Draw in the image of the letter F under an axial symmetry in the y-axis.
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Answer
To perform an axial symmetry with respect to the y-axis, every point in the figure should be mirrored over the y-axis. This means that the x-coordinates of all points will change signs while the y-coordinates remain unchanged. The original coordinates of points are:
A(-4, -1)
B(-1, 5)
C(-2, 3)
The coordinates for the image will be:
A' (4, -1)
B' (1, 5)
C' (2, 3)
Step 2
Write down the coordinates of the points B and C.
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Answer
The coordinates of the points are:
B (-1, 5)
C (-2, 3)
Step 3
Write down the co-ordinates of A', B' and C'.
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Answer
The coordinates of the transformed points are:
A' (4, -1)
B' (1, 5)
C' (2, 3)
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