If square PQRS is reflected across the x axies to create P,Q,R,S what is the permiter In the
image
Without an image, it is not possible to determine the coordinates of the points or the length of the sides of the square. Therefore, it is not possible to determine the perimeter of the reflected square P, Q, R, S.
To find the perimeter of the reflected square P'Q'R'S', we need to determine the distance between its vertices.
Since the square is reflected across the x-axis, the x-coordinates of the vertices remain the same, while the y-coordinates change sign.
Let's assume the coordinates of the vertices of the original square PQRS are:
P: (P_x, P_y)
Q: (Q_x, Q_y)
R: (R_x, R_y)
S: (S_x, S_y)
After reflecting across the x-axis, we get the following coordinates for the reflected square P'Q'R'S':
P': (P_x, -P_y)
Q': (Q_x, -Q_y)
R': (R_x, -R_y)
S': (S_x, -S_y)
To calculate the perimeter of the reflected square, we need to find the distances between these points. Let's use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
So, the perimeter of the reflected square is:
Perimeter = P'Q' + Q'R' + R'S' + S'P'
= √((Q_x - P_x)^2 + (-Q_y + P_y)^2) + √((R_x - Q_x)^2 + (-R_y + Q_y)^2) + √((S_x - R_x)^2 + (-S_y + R_y)^2) + √((P_x - S_x)^2 + (-P_y + S_y)^2)