Transformations and Their Effects

The video tutorial covers coordinate notation, explaining how X and Y coordinates map onto new points with transformations like reflection, translation, and dilation. Reflections involve making one axis negative, translations shift points horizontally and vertically, and dilations involve enlarging or reducing figures using scale factors. An example of translation is provided, showing how to apply coordinate notation to shift a figure. The concept of isometry is introduced, highlighting transformations that preserve length and angle, such as translations, reflections, and rotations, with a note that dilations are not isometries.

What does coordinate notation help us understand in transformations?

• The texture of the shape

• The size of the shape

• The color of the shape

• The movement of points

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

• They remain unchanged

• They become positive

• They become negative

• They double

What is the result of reflecting a point across the x-axis?

• The y-coordinate changes

• Neither coordinate changes

• Both coordinates change

• The x-coordinate changes

In a translation, if a point is moved 9 units to the right, what happens to its x-coordinate?

• It decreases by 9

• It increases by 9

• It remains the same

• It becomes negative

What is the effect of a translation that moves a point down by 2 units?

• The x-coordinate decreases by 2

• The y-coordinate increases by 2

• The y-coordinate decreases by 2

• The x-coordinate increases by 2

What happens to a shape when it undergoes a dilation with a scale factor greater than 1?

• It reflects

• It rotates

• It enlarges

• It shrinks

If a dilation has a scale factor between 0 and 1, what is the result?

• The shape remains the same

• The shape reduces

• The shape enlarges

• The shape rotates

In the example given, what is the new coordinate of point A after translation?

• (2, 3)

• (3, 2)

• (2, 1)

• (1, 2)

What is the new coordinate of point B after the translation example?

• (5, 3)

• (4, 2)

• (3, 5)

• (2, 4)

What is the definition of isometry in transformations?

• A transformation that changes the size

• A transformation that rotates the shape

• A transformation that changes the color

• A transformation that preserves length and angle