Exploring Translations, Reflections, and Rotations in Geometry

What is the rule for translating a point (x, y) by 1 unit right and 4 units up?

• x - 1, y + 4

• x + 1, y + 4

• x + 1, y - 4

• x - 1, y - 4

If a point (-1, -1) is translated 2 units left and 4 units down, what is the new point?

• (-2, -4)

• (-3, -5)

• (-3, -1)

• (-1, -5)

What happens to the x-coordinate of a point when it is reflected across the y-axis?

• It doubles

• It remains the same

• It changes its sign

• It becomes zero

When a point is reflected across the x-axis, which coordinate changes its sign?

• x-coordinate

• Neither coordinate

• Both coordinates

• y-coordinate

If a point (1, 2) changes to (1, -2), what type of reflection has occurred?

• No reflection

• Reflection over the y-axis

• Reflection over the x-axis

• Rotation

What is the new point when (3, -2) is rotated 90 degrees counterclockwise?

• (3, -2)

• (-3, 2)

• (2, 3)

• (-2, -3)

How do the coordinates of a point change when rotated 180 degrees about the origin?

• Both coordinates change their signs

• Only x-coordinate changes its sign

• Only y-coordinate changes its sign

• Coordinates remain the same

What is the new point when (4, -3) is rotated 90 degrees clockwise?

• (-4, 3)

• (4, 3)

• (3, 4)

• (-3, -4)

When a point is rotated 270 degrees clockwise, what is the equivalent counterclockwise rotation?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

What is the new point when (2, -1) is rotated 270 degrees counterclockwise?

• (1, 2)

• (2, 1)

• (-1, -2)

• (-2, 1)