Transformations and Reflections in Geometry

This video tutorial covers the concept of reflections in geometry, explaining how shapes can be reflected across vertical, horizontal, and diagonal mirror lines. It also discusses reflections on coordinate axes and provides practical examples. The video concludes with guidance on describing reflections and transformations.

What is the term used for the original shape that is reflected across a mirror line?

• Object

• Image

• Reflection

• Shadow

When reflecting a shape across a vertical mirror line, what remains constant between the object and its reflection?

• Color

• Size

• Distance from the mirror line

• Orientation

In a reflection, if a point is 4 squares away from the mirror line, how far will its reflection be from the mirror line?

• 6 squares

• 8 squares

• 4 squares

• 2 squares

How do you reflect a point across a diagonal mirror line?

• Move the same distance diagonally and change direction at the line

• Move the same distance horizontally

• Move the same distance in a circular path

• Move the same distance vertically

What is the equation of a vertical line that crosses the x-axis at 3?

• x = -3

• y = -3

• x = 3

• y = 3

What is the equation of the x-axis in terms of y?

• x = y

• y = x

• x = 0

• y = 0

Which of the following is NOT a type of transformation?

• Reflection

• Distortion

• Rotation

• Translation

What is the equation of a line where the y-coordinate is always equal to the x-coordinate?

• x = -y

• y = -x

• x = y

• y = x

When reflecting a shape in the line y = -x, what happens to the coordinates of the points?

• The y-coordinate becomes the x-coordinate

• The y-coordinate becomes the negative x-coordinate

• The x-coordinate becomes the negative y-coordinate

• The x-coordinate becomes the y-coordinate

Which transformation involves flipping a shape over a line to create a mirror image?

• Translation

• Reflection

• Enlargement

• Rotation