Reflection and Line Equations

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 practice questions to apply these concepts. The video concludes with a section on describing transformations between shapes.

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

• Shadow

• Image

• Object

• Reflection

In a reflection, what is the term for the line that acts as the 'mirror'?

• Symmetry line

• Reflection line

• Axis line

• Mirror line

When reflecting a shape across a vertical mirror line, what happens to the distance between the shape and the mirror line?

• It becomes zero

• It halves

• It remains the same

• It doubles

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

• Move it horizontally past the line

• Move it vertically past the line

• Change direction at the line and continue

• Reflect it directly across the line

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

• y = -x

• x = y

• y = x

• x = -y

What is the equation of a line where all x-coordinates are the same?

• x = y

• y = x

• x = a constant

• y = a constant

If a line crosses the y-axis at 6, what is its equation?

• x = 0

• y = 0

• y = 6

• x = 6

Which transformation involves flipping a shape over a line?

• Rotation

• Enlargement

• Reflection

• Translation

How do you determine the mirror line between two reflected shapes?

• It is the line that bisects the distance between them

• It is the line that connects their centers

• It is the line that is parallel to both shapes

• It is the line that is perpendicular to both shapes

What is the equation of the line where the y-coordinate is the negative of the x-coordinate?

• y = x

• x = y

• y = -x

• x = -y