Reflection and Movement of Points

The video tutorial covers the concept of double reflection using triangle FGH. It begins by reflecting the triangle over the line y equals two, followed by another reflection over y equals negative one. The tutorial then introduces the idea of composite transformations by reflecting a blue triangle over two different lines, y equals negative one and x equals two. Finally, it demonstrates reflections across the line y equals x and the vertical line x equals negative three, providing a comprehensive introduction to composite transformations.

What is the first axis of reflection for the triangle FGH?

• y = 1

• x = 2

• y = 2

• x = 1

Which point remains stationary during the first reflection over y = 2?

• F

• G

• H

• Both F and H

What is the second axis of reflection for the red triangle?

• x = -1

• x = -2

• y = -1

• y = -2

Which point remains stationary during the second reflection over y = -1?

• F

• G

• H

• None

What is the first axis of reflection for the blue triangle in the third section?

• y = -1

• y = 1

• x = -1

• x = 1

How many units does point H move during the first reflection over y = -1?

• 4 units

• 3 units

• 2 units

• 5 units

What is the second axis of reflection for the blue triangle in the fourth section?

• x = 1

• y = 2

• x = 2

• y = 1

How many units does point G move during the second reflection over x = 2?

• 3 units

• 2 units

• 4 units

• 1 unit

What is the first axis of reflection in the final double reflection?

• y = x

• y = -x

• x = y

• x = -y

How many units does point G move during the final reflection over x = -3?

• 7 units

• 6 units

• 8 units

• 5 units