Reflections and Quadrants in Geometry

This video tutorial teaches how to reflect triangles over the x and y axes using coordinates, without a graph. It reviews the properties of reflections, such as maintaining size and shape while changing orientation and position. The tutorial explains the quadrants of the coordinate plane and demonstrates how to determine the new coordinates of points after reflections over the x and y axes. Examples are provided for reflections from different quadrants, and the process is verified using a graph.

What happens to the size and shape of a figure after a reflection?

• They stay the same.

• They change.

• Only the shape changes.

• Only the size changes.

In which quadrant are both x and y values positive?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

After reflecting a point from quadrant 1 over the x-axis, where does it end up?

• Quadrant 3

• Quadrant 4

• Quadrant 2

• Quadrant 1

If a point in quadrant 1 is reflected over the x-axis, what happens to its y-coordinate?

• It becomes positive.

• It becomes zero.

• It becomes negative.

• It remains the same.

When reflecting a point from quadrant 2 over the x-axis, which quadrant does it move to?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

What happens to the coordinates of a point in quadrant 2 after reflecting over the x-axis?

• Both coordinates become positive.

• Both coordinates become negative.

• Only the x-coordinate changes.

• Only the y-coordinate changes.

Reflecting a point from quadrant 1 over the y-axis moves it to which quadrant?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

After reflecting over the y-axis from quadrant 1, what happens to the x-coordinate?

• It becomes zero.

• It remains the same.

• It becomes negative.

• It becomes positive.

Reflecting a point from quadrant 2 over the y-axis moves it to which quadrant?

• Quadrant 1

• Quadrant 3

• Quadrant 4

• Quadrant 2

What happens to the coordinates of a point in quadrant 2 after reflecting over the y-axis?

• Only the y-coordinate changes.

• Both coordinates become positive.

• Both coordinates become negative.

• Only the x-coordinate changes.