Exploring Sequence of Transformations

The video tutorial covers the sequence of transformations, including rotation, reflection, translation, and dilation. It provides step-by-step solutions to problems involving these transformations, emphasizing the importance of recognizing and applying the correct sequence. The tutorial also explains how to identify transformations using given rules and points.

What is the first step in the sequence of transformations for the first problem?

• Reflect over the y-axis

• Rotate 180° about the origin

• Translate down four units

• Dilate with a scale factor of two

After rotating 180° about the origin, what is the next step in the first problem?

• Dilate with a scale factor of two

• Translate three units to the right

• Reflect over the x-axis

• Reflect over the y-axis

In the second problem, how many units do we translate the figure to the right?

• Two units

• Three units

• Four units

• Five units

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

• 2

• 1.5

• 3

• 2.5

In the third problem, what transformation is indicated by adding or subtracting a value to a coordinate?

• Translation

• Dilation

• Rotation

• Reflection

What does it mean if only the y-coordinate goes opposite in the third problem?

• Dilation

• Translation

• Reflection

• Rotation

In the fourth problem, what is the first transformation applied to the points?

• Reflection over the y-axis

• Rotation of 90° counterclockwise

• Dilation with a scale factor of two

• Translation to the left

What is the second transformation in the fourth problem?

• Rotation of 180°

• Dilation with a scale factor of three

• Reflection over y = x

• Translation to the right

What happens to the coordinates when reflected over y = x?

• The x and y coordinates switch places

• Only the y-coordinate changes

• Only the x-coordinate changes

• They remain the same

What is the final transformation in the fourth problem?

• Reflection over y = x

• Rotation of 90° clockwise

• Reflection over the x-axis

• Translation to the left