Question

Determine the line of reflection.

Reflection across x = 3
Reflection across y = 3
Reflection across the x-axis
Reflection across the y-axis

Answer 1

The line of reflection is determined by the axis of reflection.

- Reflection across x = 3 is a reflection across a vertical line passing through x = 3.
- Reflection across y = 3 is a reflection across a horizontal line passing through y = 3.
- Reflection across the x-axis is a reflection across the horizontal line at y = 0.
- Reflection across the y-axis is a reflection across the vertical line at x = 0.

Therefore, to determine the line of reflection, we need to know which axis the reflection is occurring across. If the reflection is across x = 3, the line of reflection is the vertical line passing through x = 3. If the reflection is across y = 3, the line of reflection is the horizontal line passing through y = 3. If the reflection is across the x-axis, the line of reflection is the horizontal line at y = 0. If the reflection is across the y-axis, the line of reflection is the vertical line at x = 0.

Answer 2

• A) Reflection across x = 3

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The line of reflection passes through the midpoint of the segment connecting the corresponding points.

Taking points C and C'. Both have same y-coordinate, hence we are taking their x-coordinates as endpoints.

Finding the x-coordinate of midpoint of CC':

• x = (1 + 5)/2
• x = 6/2
• x = 3

Hence reflection line is x = 3.