Reflection Rules in Geometry

The video tutorial explains the concept of reflection in geometry, focusing on reflections over the x and y axes. It provides rules for these transformations, demonstrates examples with triangles, and discusses common mistakes. The tutorial emphasizes understanding the change in signs of coordinates during reflections and clarifies misconceptions through examples.

What is a reflection in geometry?

• A flip over a line creating a mirror image

• A rotation around a point

• A stretch along an axis

• A slide along a line

What is the main concept of a reflection in geometry?

• Rotation

• Translation

• Mirror image

• Scaling

When reflecting over the x-axis, what happens to the y-coordinate?

• It becomes zero

• It stays the same

• It doubles

• It changes sign

What is the rule for reflecting a point over the y-axis?

• Change the sign of the x-coordinate

• Change the sign of the y-coordinate

• Both coordinates change sign

• Both coordinates stay the same

What happens to the coordinates when reflecting over the x-axis?

• X-coordinates change

• Y-coordinates change

• Both coordinates change

• No change

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

• X-coordinate changes

• Y-coordinate changes

• Both coordinates change

• No change

In the example of reflecting triangle ABC over the x-axis, what is the new position of point A?

• (-2, -2)

• (-2, 2)

• (2, -2)

• (2, 2)

After reflecting triangle ABC over the x-axis, what pattern is observed?

• X-coordinates change sign

• No change in coordinates

• Y-coordinates change sign

• Both coordinates change sign

What is the new position of point B after reflecting over the x-axis?

• (-3, -4)

• (-3, 4)

• (3, 4)

• (3, -4)

What is the new position of point C after reflecting over the x-axis?

• (4, -2)

• (-4, 2)

• (4, 2)

• (-4, -2)