Transformations and Reflections in Geometry

The video tutorial covers transformations in geometry, focusing on translations, reflections, and rotations. It explains the algebraic rules for each transformation type, providing examples to illustrate how coordinates change. The tutorial emphasizes understanding these transformations through algebraic representations and practical exercises.

What are the three types of transformations discussed in the video?

• Rotations, Dilations, Reflections

• Reflections, Dilations, Translations

• Translations, Dilations, Rotations

• Translations, Reflections, Rotations

When a figure is translated to the right on the coordinate plane, what happens to the x-coordinate?

• It decreases

• It increases

• It becomes negative

• It remains the same

In the translation example, what are the new coordinates of point X after translating 3 units right and 1 unit down?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

If a rectangle's vertices are translated by subtracting 6 from x and 3 from y, what is the direction of the translation?

• Left and Down

• Right and Up

• Right and Down

• Left and Up

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

• It remains the same

• It becomes zero

• It doubles

• It changes to its opposite

In the reflection example, what are the new coordinates of point R after reflecting across the y-axis?

• (-4, -1)

• (4, 1)

• (-4, 1)

• (4, -1)

When reflecting a triangle across the x-axis, what happens to the x-coordinates?

• They change to their opposites

• They remain the same

• They become zero

• They double

What is the first step in rotating a point 90 degrees clockwise about the origin?

• Multiply x by -1

• Switch x and y

• Multiply y by -1

• Add 90 to x

In the rotation example, what are the new coordinates of point A after a 90-degree clockwise rotation?

• (2, -4)

• (-2, 4)

• (4, 2)

• (-4, -2)

When rotating a triangle 90 degrees counterclockwise, which coordinate is changed to its opposite?

• The original x-coordinate

• The original y-coordinate

• The new x-coordinate

• The new y-coordinate