Reflections in Coordinate Geometry

This video tutorial explains the concept of reflections in mathematics, focusing on reflections with respect to the x-axis and y-axis. It describes how these reflections affect the coordinates of points on a graph. For the x-axis reflection, the Y values change sign, flipping the graph upside down. For the y-axis reflection, the X values change sign, creating a mirror image over the y-axis. The tutorial provides examples and visualizations to help understand these transformations.

What is the primary focus of the video tutorial?

• Rotations in coordinate geometry

• Scaling transformations

• Reflections with respect to the x-axis and y-axis

• Translations in coordinate geometry

What happens to the y-values of a point when it is reflected over the x-axis?

• They remain unchanged

• They are doubled

• Their signs are reversed

• They are halved

What is the effect of reflecting a point over the x-axis?

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

• Neither coordinate changes sign

How does a graph appear after being reflected over the x-axis?

• It shifts to the right

• It flips upside down

• It rotates 90 degrees

• It remains unchanged

Which of the following is true about reflections over the x-axis?

• They do not affect any values

• They affect the x-values

• They affect the y-values

• They affect both x and y values

Which of the following points would map to (5, -2) after reflection over the x-axis?

• (5, -2)

• (-5, 2)

• (5, 2)

• (-5, -2)

What is the result of reflecting a graph over the x-axis?

• The graph shifts to the left

• The graph remains unchanged

• The graph mirrors over the x-axis

• The graph rotates 90 degrees

What is affected when a graph is reflected over the y-axis?

• The y-values

• The x-values

• Both x and y values

• Neither x nor y values

Which point transformation occurs when reflecting over the y-axis?

• (4, 1) becomes (-1, 4)

• (4, 1) becomes (1, 4)

• (4, 1) becomes (4, -1)

• (4, 1) becomes (-4, 1)

What is the effect of reflecting a point over the y-axis?

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

• Neither coordinate changes sign