Point Reflections and Transformations

The video tutorial explains how to reflect a point on a coordinate plane across the X-axis, Y-axis, and the origin. It starts by introducing the concept of reflection and provides step-by-step instructions for each type of reflection. The tutorial highlights the changes in coordinates when a point is reflected across different axes and the origin, emphasizing the transformation rules. The video concludes with a summary of the reflection techniques discussed.

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

• (4,-5)

• (-4,5)

• (5,-4)

• (-5,4)

When a point is reflected across the X-axis, what happens to its coordinates?

• X-coordinate changes sign

• Y-coordinate changes sign

• Both coordinates change sign

• Coordinates remain the same

What are the coordinates of the point after reflecting across the X-axis?

• (5,-4)

• (5,4)

• (-5,-4)

• (-5,4)

When reflecting a point across the Y-axis, which coordinate changes?

• X-coordinate

• Y-coordinate

• Neither coordinate

• Both coordinates

What are the coordinates of the point after reflecting across the Y-axis?

• (-5,4)

• (5,4)

• (-5,-4)

• (5,-4)

What is the result of reflecting a point across the origin?

• Y-coordinate changes sign

• X-coordinate changes sign

• Both coordinates change sign

• Coordinates remain the same

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

• (5,4)

• (-5,-4)

• (5,-4)

• (-5,4)

Reflecting a point across both the X-axis and Y-axis is equivalent to which transformation?

• Translation

• Rotation by 90 degrees

• Rotation by 180 degrees

• Scaling

What is the effect of rotating a point 180 degrees about the origin?

• Both coordinates change sign

• Y-coordinate changes sign

• X-coordinate changes sign

• Coordinates remain the same

Which of the following summarizes the reflection process across the X-axis, Y-axis, and the origin?

• Both coordinates change

• Coordinates remain unchanged

• Only Y-coordinate changes

• Only X-coordinate changes