Exploring Transformations in Pre-Algebra

This video tutorial introduces the geometry unit by covering transformations such as translation, reflection, and dilation. It provides examples of translating triangles and parallelograms on a coordinate plane, reflecting shapes over the x and y axes, and dilating figures by specific scale factors. The tutorial emphasizes the importance of understanding the preimage and image in transformations and provides step-by-step instructions for each example.

What is the term used for the figure before a transformation?

• Preimage

• Reflection

• Image

• Prime

How do you denote the image of a point A after a transformation?

• A'

• A#

• A*

• A+

In a translation, moving a point 3 units to the right and 4 units down is equivalent to which of the following?

• Adding 3 to x and subtracting 4 from y

• Subtracting 3 from y and adding 4 to x

• Subtracting 3 from x and adding 4 to y

• Adding 3 to y and subtracting 4 from x

What is the new coordinate of point (2, 3) after translating it 3 units to the right and 2 units down?

• (5, 1)

• (5, 5)

• (1, 1)

• (1, 5)

When reflecting a point over the y-axis, what happens to the x-coordinate?

• It remains the same

• It becomes zero

• It changes sign

• It doubles

If a point is at (4, -2) and is reflected over the x-axis, what will be its new coordinate?

• (-4, 2)

• (4, 2)

• (-4, -2)

• (4, -2)

What is the scale factor used to dilate a shape if the new shape is three times larger than the original?

• 2

• 1/2

• 3

• 1/3

How do you find the new coordinates of a point (2, -3) after a dilation with a scale factor of 2?

• Subtract 2 from both coordinates

• Add 2 to both coordinates

• Divide both coordinates by 2

• Multiply both coordinates by 2

What is the new coordinate of point (-4, 5) after a dilation with a scale factor of 1/4?

• (-1, 1.25)

• (-1, 1.5)

• (-1, 1.75)

• (-1, 2)

Which of the following transformations results in a shape that is similar but not congruent to the original?

• Dilation

• Rotation

• Reflection

• Translation