1
Question
If A =(4,5), find A', A'' and A'''.
Note: A' is the reflecting point of A across the x-axis.
A'' is the reflecting point of A' across the y-axis.
A''' is the reflecting point of A'' across the x-axis.
Note: A' is the reflecting point of A across the x-axis.
A'' is the reflecting point of A' across the y-axis.
A''' is the reflecting point of A'' across the x-axis.
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Solution
Coordinates of Point A: (4,5)
A' is the reflecting point of A across the x-axis. Hence, the x-coordinates of A and A’ are the same.
Distance of Point A' from the y-axis in right direction =4
Distance of A' from the x-axis in the downward direction =5
The coordinates of the reflecting Point A' across the x-axis =A′(4,−5)
Coordinates of Point A': (4,−5)
A'' is the reflecting point of A' across the y-axis. Hence, the y-coordinates of A’ and A’’ are the same.
Distance of Point A'' from the y-axis in left direction =4
Distance of A'' from the x-axis in the downward direction =5
The coordinates of the reflecting Point A'' across the x-axis =A′′(−4,−5)
Coordinates of Point A'': (−4,−5)
A''' is the reflecting point of A'' across the x-axis. Hence, the x-coordinates of A’’ and A’’’ are the same.
Distance of point A''' from the y-axis in left direction =4
Distance of A''' from the x-axis in the upward direction =5
The coordinates of the reflecting Point A''' across the x-axis =A′′′(−4,5)
Coordinates of Point A: (4,5)
A' is the reflecting point of A across the x-axis. Hence, the x-coordinates of A and A’ are the same.
Distance of Point A' from the y-axis in right direction =4
Distance of A' from the x-axis in the downward direction =5
The coordinates of the reflecting Point A' across the x-axis =A′(4,−5)
Coordinates of Point A': (4,−5)
A'' is the reflecting point of A' across the y-axis. Hence, the y-coordinates of A’ and A’’ are the same.
Distance of Point A'' from the y-axis in left direction =4
Distance of A'' from the x-axis in the downward direction =5
The coordinates of the reflecting Point A'' across the x-axis =A′′(−4,−5)
Coordinates of Point A'': (−4,−5)
A''' is the reflecting point of A'' across the x-axis. Hence, the x-coordinates of A’’ and A’’’ are the same.
Distance of point A''' from the y-axis in left direction =4
Distance of A''' from the x-axis in the upward direction =5
The coordinates of the reflecting Point A''' across the x-axis =A′′′(−4,5)
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