Reflection and Line Equations

This video tutorial covers the concept of reflections in geometry, explaining how shapes can be reflected across mirror lines. It discusses different types of mirror lines, including vertical, horizontal, and diagonal, and demonstrates how to perform reflections on a coordinate axis. The video also explains how to describe transformations and identify mirror lines in various scenarios.

What is the term used for the original shape that is reflected?

• Mirror

• Reflection

• Object

• Image

If a shape is touching the mirror line, what happens to the point on the line?

• It disappears

• It reflects twice

• It moves away

• It stays in place

When reflecting a shape across a diagonal mirror line, what is the key step after reaching the line?

• Turn 90° and continue

• Reflect vertically

• Continue in the same direction

• Stop

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

• y = x

• x = a constant

• y = a constant

• x = y

How do you determine the equation of a horizontal line on a coordinate axis?

• By its slope

• By its length

• By its y-intercept

• By its x-intercept

In a reflection question, what is the first step to take when given a line equation like y = 2?

• Draw the line

• Calculate the distance

• Reflect the shape

• Label the image

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

• x = y

• x = -y

• y = -x

• y = x

Which transformation involves changing the size of a shape?

• Reflection

• Rotation

• Enlargement

• Translation

What is the equation of the x-axis on a coordinate plane?

• y = 0

• x = 0

• x = y

• y = x

When describing a reflection, what must you include besides the type of transformation?

• The color of the shape

• The speed of reflection

• The size of the shape

• The line of reflection