Transformations and Dilation Concepts

This video tutorial covers multiple geometric transformations, including translation, reflection, and dilation. Initially, the video explains how to translate a triangle nine units to the left and then reflect it across the x-axis. The instructor provides step-by-step guidance on determining the new coordinates after each transformation. In the second part, the video demonstrates translating a triangle six units up and then dilating it with a scale factor of two. The tutorial emphasizes the importance of understanding both the graphical representation and the coordinate changes involved in these transformations.

What is the main focus of this video tutorial?

• Single transformations

• Multiple transformations

• Only translations

• Only reflections

Which transformation is applied first to triangle ABC?

• Translation

• Rotation

• Dilation

• Reflection

How many units is triangle ABC translated to the left?

• Six units

• Nine units

• Three units

• Twelve units

After translating triangle ABC, what is the next transformation?

• Rotation

• Reflection across the y-axis

• Reflection across the x-axis

• Dilation

What is the new y-coordinate of point C after reflection across the x-axis?

• 1

• -1

• 5

• -5

What is the new position of point A after reflection across the x-axis?

• (-1, -1)

• (-7, -7)

• (-7, 7)

• (-1, 1)

What is the first step in the second transformation?

• Translate six units up

• Rotate 90 degrees

• Translate six units down

• Reflect across the y-axis

What is the scale factor used for dilation in the second transformation?

• 2

• 0.5

• 1

• 3

After translating six units up, what is the new y-coordinate of point D?

• 9

• 6

• 3

• 0

What is the new x-coordinate of point E after dilation?

• 0

• 2

• 4

• 8