Transformations and Reflections in Geometry

The video tutorial covers geometric transformations, focusing on rotations, translations, and reflections. It explains how to find the vertices of a figure after a 270-degree clockwise rotation, which is equivalent to a 90-degree counterclockwise rotation. The tutorial provides examples and discusses homework problems related to these transformations, including translating shapes on a graph and reflecting them across axes.

What is the equivalent of a 270-degree clockwise rotation?

• 90-degree counterclockwise rotation

• 180-degree counterclockwise rotation

• 270-degree counterclockwise rotation

• 90-degree clockwise rotation

When rotating a point 90 degrees counterclockwise, what happens to the coordinates?

• Keep x and y the same

• Switch x and y, change the sign of x

• Switch x and y, change the sign of y

• Change the sign of both x and y

If a point (3, -4) is rotated 90 degrees counterclockwise, what are the new coordinates?

• (3, 4)

• (4, -3)

• (-3, -4)

• (-4, 3)

What is the rule for translating a point six units to the right?

• Add 6 to the y-coordinate

• Subtract 6 from the y-coordinate

• Subtract 6 from the x-coordinate

• Add 6 to the x-coordinate

How does translating a point six units to the right affect the y-coordinate?

• It doubles

• It increases by 6

• It decreases by 6

• It remains unchanged

What is the rule for translating a point five units to the left and three units up?

• Subtract 5 from x, subtract 3 from y

• Subtract 5 from x, add 3 to y

• Add 5 to x, subtract 3 from y

• Add 5 to x, add 3 to y

When translating a trapezoid five units to the left, what happens to the x-coordinates?

• They double

• They increase by 5

• They decrease by 5

• They remain unchanged

What is the effect of reflecting a point across the y-axis?

• Neither coordinate changes sign

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

If a point (5, -3) is reflected across the y-axis, what are the new coordinates?

• (5, -3)

• (-5, 3)

• (5, 3)

• (-5, -3)

What is the rule for reflecting a point across the y-axis?

• Keep x and y the same

• Switch x and y

• Change the sign of the x-coordinate

• Change the sign of the y-coordinate