Answer:
Reflection about the vertical line x = 2.5 inches will map the square unto itself
Step-by-step explanation:
The given parameters are;
The area of the square = 25 in²
The orientation of the sides of the square are horizontal and vertical
Therefore, we have;
The area, A, of the square given by the following relation;
A = Side²
A = 25 in²
Therefore;
The area of the square = 25 = side²
The length of the sides of the square = √A = √25 = 5
The length of the sides of the square = 5 inches
The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry
One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)
Therefore, reflection about the line x = 2.5 inches will map the square unto itself.
