Reflection of Points in Geometry

The video tutorial covers the concept of reflections over the lines y=x and y=-x. It begins with an introduction to these diagonal lines and provides the rules for reflecting points over them. The tutorial includes examples demonstrating how to switch coordinates and change signs when reflecting over y=x and y=-x. The video concludes with a final example to reinforce the concepts learned.

What is the rule for reflecting a point over the line y = x?

• Keep the coordinates the same

• Switch the x and y coordinates and change their signs

• Change the sign of both coordinates

• Switch the x and y coordinates

If a point (2, -5) is reflected over the line y = x, what will be the new coordinates?

• (-2, 5)

• (5, -2)

• (-5, 2)

• (-2, -5)

If a point (1, -2) is reflected over the line y = x, what will be the new coordinates?

• (-1, 2)

• (-2, 1)

• (2, -1)

• (-1, -2)

What happens to the coordinates of a point when it is reflected over the line y = x?

• The x-coordinate is doubled

• The x-coordinate becomes the y-coordinate and vice versa

• The coordinates remain unchanged

• Both coordinates are negated

Reflecting point (5, 5) over y = x results in which coordinates?

• (-5, 5)

• (5, 5)

• (-5, -5)

• (5, -5)

What is the rule for reflecting a point over the line y = -x?

• Keep the coordinates the same

• Switch the x and y coordinates and change their signs

• Switch the x and y coordinates

• Change the sign of both coordinates

If a point (-3, 4) is reflected over the line y = -x, what will be the new coordinates?

• (3, -4)

• (-4, 3)

• (-3, -4)

• (4, -3)

When reflecting over y = -x, what additional step is required after switching the coordinates?

• Add 1 to both coordinates

• Change the sign of both coordinates

• Double the y-coordinate

• Double the x-coordinate

What is the new position of point (0, -3) when reflected over y = -x?

• (3, -3)

• (-3, 0)

• (0, 3)

• (3, 0)

What is the result of reflecting point (-2, 3) over y = -x?

• (-2, -3)

• (3, -2)

• (-3, 2)

• (2, -3)