Where is the x axis
Transformations - Reflection Across The X-Axis
in this problem we are being asked to
find the coordinates of rectangle ABCD
if it is reflected across the x axis
well when doing a reflection across the
x axis what will happen is all of the
original points will retain their
original X values and the y values will
become opposite of what they are so the
first thing that we're going to do is
just record the original points and
point a is located at positive 3
positive 6 point B is located at
positive 3 0 Point C is located at
positive 7 0 and point D is located at
positive 7 positive 6 now the next thing
that we want to do is keep all of the X
values the same so for point a this 3 is
going to be the same and make all of the
Y values opposite so the opposite of
positive 6 is negative 6 so for B the
transformed a point is going to be 3 and
the opposite of 0 is actually itself is
0 and for C the point is going to be 7
and 0 and for D the new location will be
positive 7 and negative 6 now that we
have our new coordinates let's plot them
on the coordinate plane so we have to
plot the new point a at 3 negative 6 and
let's make sure to label this a B is
located at 3 0 notice that it did not
move from its original spot because it
is right on the x axis and for C that's
going to be right here that point did
not move as well because it is also on
the x
axis n point D is seven negative six
which is right here and the next thing
that we have to do is connect our points
together to form our shape and this is
the reflected rectangle across the
x-axis and these are the coordinates
right here that represent the new
location of our rectangle
so remember when reflecting across the x
axis just keep all of the X values
exactly as they are and make all of the
Y values opposite
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