Symmetry and Coordinate Transformations

The video tutorial explains how to find the coordinates of points that are symmetric across the X-axis, Y-axis, and the origin. It starts with a given point on the coordinate plane and demonstrates how to reflect this point across each axis and the origin. The tutorial highlights that for symmetry across the X-axis, the Y-coordinates are opposites; for the Y-axis, the X-coordinates are opposites; and for the origin, both coordinates are opposites. The video concludes with a summary of these concepts.

What are the coordinates of the given point on the coordinate plane?

• (3,4)

• (-3,-4)

• (4,3)

• (-4,-3)

If a point is symmetric across the X-axis, what happens to its coordinates?

• Neither coordinate changes

• X coordinates change, Y coordinates remain the same

• X coordinates remain the same, Y coordinates change

• Both coordinates change

What are the coordinates of the point symmetric to (-4,-3) across the X-axis?

• (-4,3)

• (-3,4)

• (4,-3)

• (4,3)

If a point is symmetric across the Y-axis, what happens to its coordinates?

• Neither coordinate changes

• Both coordinates change

• X coordinates remain the same, Y coordinates change

• X coordinates change, Y coordinates remain the same

What are the coordinates of the point symmetric to (-4,-3) across the Y-axis?

• (4,3)

• (4,-3)

• (-3,4)

• (-4,3)

If a point is symmetric across the origin, what happens to its coordinates?

• Both coordinates change sign

• Neither coordinate changes

• X coordinates change, Y coordinates remain the same

• Y coordinates change, X coordinates remain the same

What are the coordinates of the point symmetric to (-4,-3) across the origin?

• (4,3)

• (-3,4)

• (-4,3)

• (4,-3)

How can you visualize symmetry across the origin?

• Reflect across the X-axis

• Reflect across the Y-axis

• Fold the graph along the X-axis

• Rotate 180 degrees about the origin

What is the result of rotating the point (-4,-3) 180 degrees about the origin?

• (-3,4)

• (4,3)

• (4,-3)

• (-4,3)

Which of the following is NOT a method to find a symmetric point?

• Rotate 180 degrees about the origin

• Rotate 90 degrees about the origin

• Reflect across the Y-axis

• Reflect across the X-axis