Reflection Over X-Axis and Y-Axis

When a coordinate reflects over the y-axis the x-coordinate...

• changes to its opposite sign

• stays the same

When a coordinate reflects over the y-axis the y-coordinate...

• changes to its opposite sign

• stays the same

When a coordinate reflects over the x-axis the x-coordinate...

• changes to its opposite sign

• stays the same

When a coordinate reflects over the x-axis the y-coordinate...

• changes to its opposite sign

• stays the same

The blue figure is reflected over the x-axis. True or False?

• True

• False

What is the rule for a reflection over the y-axis?

• (x,y)→(-x,y)

• (x,y)→(x,-y)

• (x,y)→(-x,-y)

• (x,y)→(y,x)

What is the rule for a reflection over the x-axis?

• (x,y)→(-x,y)

• (x,y)→(x,-y)

• (x,y)→(-x,-y)

• (x,y)→(y,x)

If a figure is reflected over a line of symmetry, then its image is congruent to it. True or False?

• True

• False

Reflect the point over the y-axis. What is the coordinate of its image?

• (-3,3)

• (3,3)

• (-3,-3)

• (3,-3)

If a point remains unchanged after a reflection, then it lies on...

• the line of symmetry

• itself

• the origin

• point (5,6)