Exploring Compositions of Transformations in Geometry

What is the primary focus of the video tutorial?

• Linear algebra

• Basic arithmetic operations

• Advanced calculus

• Compositions of transformations

If a triangle undergoes a translation of (-2, 2), what happens to its position?

• Moves 2 units to the right and 2 units down

• Moves 2 units to the right and 2 units up

• Moves 2 units to the left and 2 units up

• Moves 2 units to the left and 2 units down

After translating a triangle by (-2, 2), what is the new position of point A if it was originally at (-1, 2)?

• (-3, 0)

• (-3, 4)

• (-1, 0)

• (-1, 4)

What is the result of reflecting a point over the x-axis?

• Neither coordinate changes sign

• Both coordinates change sign

• The y-coordinate changes sign

• The x-coordinate changes sign

How do you rotate a figure 270 degrees?

• Rotate 90 degrees clockwise

• Rotate 180 degrees clockwise

• Rotate 90 degrees counterclockwise

• Rotate 270 degrees clockwise

What is the coordinate transformation for a 270-degree rotation?

• (x, y) -> (x, -y)

• (x, y) -> (-y, x)

• (x, y) -> (-x, -y)

• (x, y) -> (y, -x)

What does a translation of (1, 2) do to a point?

• Moves it 1 unit to the left and 2 units down

• Moves it 1 unit to the right and 2 units down

• Moves it 1 unit to the right and 2 units up

• Moves it 1 unit to the left and 2 units up

How does reflecting over the y-axis affect the coordinates of a point?

• Neither coordinate changes sign

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

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

• The y-coordinate changes sign

• The x-coordinate changes sign

• Both coordinates change sign

• The coordinates are swapped

What is the result of a 180-degree rotation?

• The y-coordinate changes sign

• Both coordinates change sign

• The x-coordinate changes sign

• Neither coordinate changes sign