Symmetry - SAT Subject Test in Math I
Card 0 of 2
Which of the following symmetries applies to the graph of the relation
?
I) Symmetry with respect to the origin
II) Symmetry with respect to the 
-axis
III) Symmetry with respect to the 
-axis
Which of the following symmetries applies to the graph of the relation
I) Symmetry with respect to the origin
II) Symmetry with respect to the
III) Symmetry with respect to the
The relation
is a circle with center 
and radius 
.
In other words, it is a circle with center at the origin, translated right 
units and up 
units (the radius is irrelevant to the question).
or
is this circle translated right zero units and up 2 units. The upshot is that the circle moves along the 
-axis only, and therefore is symmetric with respect to the 
-axis, but not the 
-axis. Also, as a consequence, it is not symmetric with respect to the origin.
The relation
is a circle with center
In other words, it is a circle with center at the origin, translated right
or
is this circle translated right zero units and up 2 units. The upshot is that the circle moves along the
Compare your answer with the correct one above
Given a point 
, what is the new 
value if this point is flipped across the line 
?
Given a point
The displacement between negative three and positive one is four.
This mean that after flipping the point, it must be symmetrical to its original location. The new point must also be 4 units to the right of the line.
The new point would be located at: 
The answer is: 
The displacement between negative three and positive one is four.
This mean that after flipping the point, it must be symmetrical to its original location. The new point must also be 4 units to the right of the line.
The new point would be located at:
The answer is:
Compare your answer with the correct one above