Exploring Symmetry in Coordinate Geometry

The video tutorial introduces the concept of symmetry about the x-axis, y-axis, and origin using points on a coordinate plane. It explains how points can be symmetrical across these axes and provides examples of reflections. The tutorial also summarizes the rules for identifying symmetry based on coordinates and demonstrates these concepts with a practical example.

If point A is at (3, -4) and has symmetry about the X-axis with point D, what are the coordinates of point D?

• (-3, 4)

• (3, -4)

• (-3, -4)

• (3, 4)

Which statement is true when a point has Y-axis symmetry?

• Y coordinates are the same

• X coordinates are the same

• Y coordinates are opposites

• X coordinates are opposites

For points with origin symmetry, how do their coordinates relate?

• X and Y coordinates are the same

• Only Y coordinates are opposites

• X and Y coordinates are opposites

• Only X coordinates are opposites

What happens to the coordinates of a point when it is reflected across the X-axis?

• Neither coordinate changes

• Both coordinates change

• Y coordinate changes, X remains the same

• X coordinate changes, Y remains the same

What are the coordinates of a point after reflecting (-3, 5) across the X-axis?

• (3, -5)

• (-3, 5)

• (-3, -5)

• (3, 5)

After reflecting a point across the Y-axis, what changes occur to its coordinates?

• No changes occur

• X coordinate is negated

• Y coordinate is negated

• Both coordinates are negated

Which of the following points could be a reflection of (2, -3) across the Y-axis?

• (2, 3)

• (-2, -3)

• (2, -3)

• (-2, 3)

What is the result of reflecting the point (3, -5) across the origin?

• (-3, 5)

• (3, -5)

• (3, 5)

• (-3, -5)

What are the coordinates of a point after it is reflected across both the X-axis and Y-axis?

• Coordinates are negated

• Coordinates are halved

• Coordinates are doubled

• Coordinates remain the same

If a point is rotated 180 degrees about the origin, what symmetry does it demonstrate?

• No symmetry

• Origin symmetry

• X-axis symmetry

• Y-axis symmetry