Exploring Transformations: Reflections, Rotations, and Translations

The video tutorial covers the basic concepts of geometric transformations, including translations, reflections, and rotations. It explains how each transformation affects a figure on the coordinate plane, providing examples for better understanding. The tutorial also discusses the effects of these transformations on the coordinates of a figure, emphasizing the changes in position and orientation. The video concludes with a recap of the key points discussed.

What is a transformation in geometry?

• A change in the shape of a figure

• A change in the color of a figure

• A change in the texture of a figure

• A change in the size or position of a figure

What is the result of a transformation called?

• Prime image

• Post-image

• Transformed image

• Pre-image

In a translation, if a figure is moved up, which coordinate value is affected?

• Neither x nor y coordinates

• x-coordinate

• y-coordinate

• Both x and y coordinates

If a figure is translated 3 units to the right, what happens to the x-coordinate?

• 3 is subtracted from it

• 3 is added to it

• It is multiplied by 3

• It is divided by 3

When reflecting a figure over the x-axis, which coordinate value changes?

• Neither x nor y coordinates

• x-coordinate

• y-coordinate

• Both x and y coordinates

What happens to the x-coordinate when a figure is reflected over the y-axis?

• It stays the same

• It changes to its opposite

• It is multiplied by 2

• It is divided by 2

In a 90-degree clockwise rotation, what happens to the coordinates of a point?

• The y value is negated, and the x value stays the same

• The x and y values are swapped, and the new y value is negated

• The x and y values are swapped, and the new x value is negated

• The x value is negated, and the y value stays the same

How many quadrants does a figure move in a 180-degree rotation?

• One quadrant

• Four quadrants

• Two quadrants

• Three quadrants

What happens to the coordinates of a point in a 360-degree rotation?

• They are swapped

• They are negated

• They are multiplied by 2

• They stay the same

In a reflection over the y-axis, what happens to the y-coordinate?

• It changes to its opposite

• It is multiplied by 2

• It is divided by 2

• It stays the same