Reflection practice worksheet with coordinate geometry exercises.

I'll work through this reflection practice worksheet step by step.

Let me analyze each problem:

Problem #1-4: These show figures and their reflections. I need to identify which side is the line of symmetry.
- For a reflection, the line of symmetry is the perpendicular bisector between corresponding points
- Looking at the diagrams, the dashed line represents the line of reflection

Problem 5: Reflect coordinates (4, -3) over different axes/lines:
a) Over the x-axis: When reflecting over x-axis, (x, y) → (x, -y)
So (4, -3) → (4, 3)

b) Over the y-axis: When reflecting over y-axis, (x, y) → (-x, y)
So (4, -3) → (-4, -3)

c) Over both x and y axes: This means reflecting over both, which is equivalent to rotating 180° or reflecting through origin
(x, y) → (-x, -y)
So (4, -3) → (-4, 3)

Problem 6: Complete the tables for reflections

*Reflect over x-axis:* Rule: (x, y) → (x, -y)
- A(2, 3) → A'(2, -3)
- B(-1, 2) → B'(-1, -2)
- C(3, -4) → C'(3, 4)

*Reflect over y-axis:* Rule: (x, y) → (-x, y)
- A(-4, 2) → A'(4, 2)
- B(1, -3) → B'(-1, -3)
- C(-2, -1) → C'(2, -1)

Final Answer:

Problem 5:
a) (4, 3)
b) (-4, -3)
c) (-4, 3)

Problem 6 - Reflect over x-axis:
A'(2, -3), B'(-1, -2), C'(3, 4)
Rule: (x, y) → (x, -y)

Problem 6 - Reflect over y-axis:
A'(4, 2), B'(-1, -3), C'(2, -1)
Rule: (x, y) → (-x, y)