When point T(3, −8) is reflected across the x-axis to get point T', what are the coordinates of T', and which quadrant does it belong to?
Reflective symmetry is a type of symmetry where one of the halves of the object reflects the other half of the object. It is also known as mirror symmetry. A point or a line can be reflected about any referential axis in the cartesian plane, to give its corresponding mirror image.
Answer: When point T(3, −8) is reflected across the x-axis to get point T', the coordinates of T' are (3, 8) and it belongs to the first quadrant.
Let's understand the solution in detail.
When a point is reflected about the x-axis, its x-coordinates remain the same, but its y-coordinates change its sign.
Hence, the point (a, b) becomes (a, -b) after reflection about x-axis.
So, the point T(3, -8) becomes (3, 8) as shown in the figure, and it lies on the first quadrant.