Let’s solve each problem step by step.
---
Problem 1:
If the point W(5, -4) is reflected over the x-axis, what will be the coordinates of the resulting point, W'?
→ When you reflect a point over the
x-axis, the
x-coordinate stays the same, and the
y-coordinate changes sign (becomes its opposite).
Original point: W(5, -4)
After reflection over x-axis:
x = 5 (stays the same)
y = -(-4) = 4
So, W' = (5, 4)
✔ Check: Reflecting over x-axis flips the point up or down. Since W was 4 units below the x-axis, after reflection it should be 4 units above → y becomes +4. Correct.
---
Problem 2:
If the point M(2, 2) is reflected over the y-axis, what will be the coordinates of the resulting point, M'?
→ When you reflect a point over the
y-axis, the
y-coordinate stays the same, and the
x-coordinate changes sign.
Original point: M(2, 2)
After reflection over y-axis:
x = -(2) = -2
y = 2 (stays the same)
So, M' = (-2, 2)
✔ Check: Reflecting over y-axis flips left/right. Original point is 2 units right of y-axis → after reflection, it’s 2 units left → x becomes -2. Correct.
---
Problem 3:
If the point T(3, -4) is reflected over the x-axis, what will be the coordinates of the resulting point, T'?
→ Again, reflecting over the
x-axis: keep x, flip y.
Original point: T(3, -4)
After reflection:
x = 3 (same)
y = -(-4) = 4
So, T' = (3, 4)
✔ Check: Point was 4 units below x-axis → after reflection, 4 units above → y = +4. Correct.
---
Final Answer:
1) W' = (5, 4)
2) M' = (-2, 2)
3) T' = (3, 4)
Parent Tip: Review the logic above to help your child master the concept of rotation and reflection worksheet.
