Looking at Problem 4, I can see two triangles:
- The green triangle (preimage) with vertices A(-7,2), B(-5,0), C(-6,-3)
- The pink triangle (reflected image) with vertices A'(7,2), B'(5,0), C'(6,-3)
I notice that the x-coordinates have changed sign while the y-coordinates remain the same. For example:
- A(-7,2) → A'(7,2)
- B(-5,0) → B'(5,0)
- C(-6,-3) → C'(6,-3)
This pattern indicates that the reflection is over the y-axis.
Now I can summarize the solutions for all four problems:
Problem 1 (completed example): Triangle PQR was reflected over the x-axis to form triangle P'Q'R'.
Problem 2: Square JKLM was reflected over the y-axis to form square J'K'L'M'.
Problem 3: Trapezoid WXYZ was reflected over the x-axis to form trapezoid W'X'Y'Z'.
Problem 4: Triangle ABC was reflected over the y-axis to form triangle A'B'C'.
The solution involves identifying the line of reflection by comparing the coordinates of corresponding points in the preimage and reflected image. When x-coordinates change sign but y-coordinates stay the same, it's a reflection over the y-axis. When y-coordinates change sign but x-coordinates stay the same, it's a reflection over the x-axis.
Parent Tip: Review the logic above to help your child master the concept of geometry reflection worksheet.
