If we notice points P and P', the transformation preserves every point along x direction and moves the point by twice its y-coordinate down along y direction.
So, point P moved from (7, 6) to (7, 6-12) = (7, -6).
Hence, point R (5, 2) would be moved to (5, 2-4) = (5, -2).
Answer:
The correct option is 4. The coordinates of R' is (5,-2).
Step-by-step explanation:
It is given that after reflection the triangle P'Q'R' is an image of triangle PQR.
If the figure reflects across the x-axis then the x coordinate remains same but the sign of y-coordinate change.
[tex](x,y)\rightarrow (x,-y)[/tex]
If the figure reflects across the y-axis then the y coordinate remains same but the sign of x-coordinate change.
[tex](x,y)\rightarrow (-x,y)[/tex]
It is given that P(7,6) and P'(7,-6). Since the x coordinate remains same, therefore the figure PQR reflects across the x-axis.
The point is Q(3,5).
[tex](3,5)\rightarrow (3,-5)[/tex]
The point is R(5,2).
[tex](5,2)\rightarrow (5,-2)[/tex]
Therefore the coordinates of R' is (5,-2). Option 4 is correct.
