Reflections in Coordinate Geometry

The video tutorial explains how to reflect a point across different axes and the origin. It starts by introducing the concept of reflection and then demonstrates how to reflect a point across the X-axis, Y-axis, and the origin. Each reflection changes the coordinates of the point in specific ways, which are explained step-by-step.

What are the initial coordinates of point A?

• (3, 6)

• (-3, -6)

• (-6, 3)

• (6, -3)

Which of the following is NOT a type of reflection discussed?

• Reflection across the y-axis

• Reflection across the z-axis

• Reflection across the x-axis

• Reflection across the origin

What happens to the y-coordinate of point A when it is reflected across the x-axis?

• It becomes positive

• It remains the same

• It becomes zero

• It changes sign

After reflecting point A across the x-axis, what are the new coordinates?

• (6, 3)

• (-6, -3)

• (3, -6)

• (-3, 6)

What happens to the x-coordinate of point A when it is reflected across the y-axis?

• It changes sign

• It becomes positive

• It remains the same

• It becomes zero

After reflecting point A across the y-axis, what are the new coordinates?

• (-6, -3)

• (3, -6)

• (6, 3)

• (-3, 6)

When reflecting a point across the origin, what happens to its coordinates?

• Both coordinates remain the same

• Both coordinates change sign

• Only x-coordinate changes sign

• Only y-coordinate changes sign

What are the coordinates of point A after reflecting it across the origin?

• (3, -6)

• (-3, 6)

• (6, -3)

• (-6, 3)

Which reflection results in the coordinates (-6, 3) for point A?

• Reflection across the origin

• Reflection across the x-axis

• Reflection across the y-axis

• No reflection results in these coordinates