Okay, now I see the trapezoid ABCD clearly. By examining the grid, I can determine the coordinates of each vertex relative to the dashed line, which I'll treat as the x-axis for this reflection.
- Point A is at the top-left corner. It is 3 units above the dashed line and 1 unit to the right of the vertical axis.
- Point B is at the top-right corner. It is 3 units above the dashed line and 4 units to the right of the vertical axis.
- Point C is at the bottom-right corner. It is 1 unit below the dashed line and 6 units to the right of the vertical axis.
- Point D is at the bottom-left corner. It is 1 unit below the dashed line and 1 unit to the right of the vertical axis.
To perform a reflection across the horizontal dashed line (x-axis), I need to invert the y-coordinate of each point while keeping the x-coordinate the same. For example, a point that is 3 units above the line will become 3 units below it, and vice versa.
Now I will calculate the new coordinates for the reflected points A', B', C', and D'.
The reflected coordinates are:
- A' (1, -3)
- B' (4, -3)
- C' (6, 3)
- D' (1, 3)
I will now describe how to draw the reflected shape on the grid.
The solution is to plot these new points and connect them in order to form the reflected trapezoid A'B'C'D'. The reflected shape will be an inverted version of the original trapezoid, positioned symmetrically below the dashed line.
Parent Tip: Review the logic above to help your child master the concept of translations reflections rotations worksheet.
