Transformations in Geometry

The video tutorial covers the basics of geometric transformations, including translations, reflections, and rotations. It explains how each transformation affects the coordinates of a shape, with specific focus on how to perform these transformations algebraically. The tutorial provides examples and practical applications to help students understand and apply these concepts effectively.

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

• Translations, Reflections, Rotations

• Rotations, Dilations, Reflections

• Translations, Dilations, Rotations

• Reflections, Dilations, Translations

In a translation, which coordinate changes when moving up or down?

• X-coordinate

• Y-coordinate

• Neither X nor Y coordinates

• Both X and Y coordinates

Which transformation involves sliding a figure?

• Translation

• Dilation

• Rotation

• Reflection

Which transformation involves changing the position without altering the shape?

• Translation

• Reflection

• Rotation

• Dilation

What happens to the X-coordinate during a reflection over the y-axis?

• It stays the same

• It becomes negative

• It becomes positive

• It switches with the Y-coordinate

What is the algebraic representation of a reflection over the x-axis?

• (x, y) -> (-x, y)

• (x, y) -> (-x, -y)

• (x, y) -> (x, -y)

• (x, y) -> (y, x)

What is the effect of a reflection over the y-axis on the point (3, -2)?

• (3, 2)

• (-3, -2)

• (-3, 2)

• (3, -2)

What is the result of a reflection over the x-axis on the point (4, -5)?

• (-4, -5)

• (4, 5)

• (4, -5)

• (-4, 5)

During a 180-degree rotation, what happens to the coordinates?

• X and Y switch places

• X becomes negative, Y stays the same

• Both X and Y become negative

• Y becomes negative, X stays the same

What happens to the coordinates during a 90-degree rotation?

• X and Y switch places, Y becomes negative

• Both X and Y become negative

• X and Y switch places, X becomes negative

• X stays the same, Y becomes negative