Exploring Geometric Transformations: Translation

The video tutorial explains geometric translation, a type of transformation that involves moving every point of a shape the same distance in the X and Y directions. It introduces the concepts of preimage and image, and provides multiple examples of how to perform translations using coordinate changes. The tutorial also demonstrates how to write translation rules and apply them to graphing exercises.

What is another term often used for 'translation' in geometric transformations?

• Dilation

• Move

• Reflection

• Rotation

In a translation, how is the distance moved in the X and Y directions described?

• Depends on the shape

• Random

• Same for each point

• Different for each point

What do we call the shape before a transformation?

• Postimage

• Original

• Image

• Preimage

If a point is translated 6 units to the right and 4 units down, what is the rule for the Y coordinate?

• Y + 6

• Y - 4

• Y + 4

• Y - 6

How do you indicate a transformed point in notation?

• G#

• G*

• G'

• G

If point G is at (1, 1) and is translated 4 units left and 2 units down, where is G' located?

• (3, 1)

• (3, -1)

• (-3, 1)

• (-3, -1)

What is the new coordinate of point E at (-4, 3) after translating 4 units left and 2 units down?

• (-4, -1)

• (-8, 1)

• (-8, -1)

• (-4, 1)

If every X point goes 3 units to the left, what is the rule for the X coordinate?

• X + 3

• X - 3

• X - 4

• X + 4

What is the new coordinate of point F at (-4, 5) after translating 4 units left and 2 units down?

• (-8, 3)

• (-8, 1)

• (-4, 1)

• (-4, 3)

If point Q is at (-5, 1) and is translated by adding 2 to X and subtracting 1 from Y, where is Q' located?

• (-3, 2)

• (-3, 0)

• (-7, 0)

• (-7, 2)