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.

• A. $A^{\prime }=(-4,-5);A^{\prime \prime }=(-4,5);A^{\prime \prime \prime }=(4,5)$
• B. $A^{\prime }=(4,-5);A^{\prime \prime }=(4,-5);A^{\prime \prime \prime }=(4,-5)$
• C. $A^{\prime }=(4,-5);A^{\prime \prime }=(-4,-5);A^{\prime \prime \prime }=(-4,5)$
• D. $A^{\prime }=(-4,-5);A^{\prime \prime }=(4,5);A^{\prime \prime \prime }=(-4,5)$

Answer 1

The correct option is C $A^{\prime }=(4,-5);A^{\prime \prime }=(-4,-5);A^{\prime \prime \prime }=(-4,5)$


Coordinates of Point A: $(4,5)$
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 $=A^{\prime }(4,-5)$

Coordinates of Point A': $(4,-5)$
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 $=A^{\prime \prime }(-4,-5)$

Coordinates of Point A'': $(-4,-5)$
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 $=A^{\prime \prime \prime }(-4,5)$