Question
Find the point that is symmetric to the point
with respect to the
-axis, the
-axis, and the
origin.
The point symmetric to
with respect to the x-axis is
(Type an ordered pair.)
origin.
The point symmetric to
(Type an ordered pair.)
Ask by Kirk Pena. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The symmetric point with respect to the
-axis is (7, 4).
Solution

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Mind Expander
The point symmetric to
with respect to the
-axis is
. This is achieved by taking the original point’s
-coordinate and changing its sign while keeping the
-coordinate the same.
Now, for the
-axis reflection, the point would be
, flipping the sign of the
-coordinate. Finally, the reflection through the origin gives us
, changing the signs of both coordinates.