Transformations and Their Effects

The video tutorial explains how to perform geometric transformations, specifically reflection over the line y = x - 2 and translation by 3 units in the x direction and 9 units down. It discusses the concept of congruence, emphasizing that reflections and translations maintain congruence, unlike dilation. The tutorial provides a step-by-step guide to performing these transformations, ensuring the resulting figure is congruent to the original.

What is the first transformation applied to the figure?

• Reflection over y = x - 2

• Rotation

• Translation by 3 units left

• Dilation

Which transformation does not affect the congruence of a figure?

• Dilation

• Reflection

• Translation

• Rotation

What are the coordinates of one point on the line y = x - 2?

• (0, 2)

• (0, -2)

• (2, 2)

• (2, -2)

How many points are needed to define the line for reflection?

• One

• Two

• Three

• Four

What is the slope of the line y = x - 2?

• 0

• 1

• -1

• 2

What is the final transformation applied to the figure?

• Rotation by 90 degrees

• Dilation by a factor of 2

• Translation by 3 units right and 9 units down

• Reflection over y = x - 2

What is the effect of translating a figure by 3 units right?

• Moves the figure down

• Moves the figure right

• Moves the figure up

• Moves the figure left

What is the effect of translating a figure by 9 units down?

• Moves the figure right

• Moves the figure up

• Moves the figure left

• Moves the figure down

Which transformation was not performed in the video?

• Reflection

• Dilation

• Translation

• Rotation

What confirms that the transformed figure is congruent to the original?

• It was only reflected and translated

• It was scaled up

• It was rotated

• It was dilated