Exploring Transformations in Geometry

What is the rule for rotating a point 90 degrees clockwise?

• Keep the coordinates the same

• Switch x and y, then change the sign of the new x-coordinate

• Switch x and y, then change the sign of the new y-coordinate

• Change the sign of both coordinates

How do you rotate a point 180 degrees?

• Keep the coordinates the same

• Switch x and y, then change the sign of the new x-coordinate

• Change the sign of both coordinates

• Switch x and y, then change the sign of the new y-coordinate

When reflecting a point across the x-axis, which coordinate's sign is changed?

• Neither coordinate

• Both coordinates

• y-coordinate

• x-coordinate

What happens to the x-coordinate when reflecting a point across the y-axis?

• It stays the same

• It becomes negative if it was positive

• Both A and B

• It becomes positive if it was negative

In a translation, what does adding a negative number to the x-coordinate do?

• Moves the point to the right

• Moves the point to the left

• Moves the point up

• Moves the point down

How do you translate a point 4 units down?

• Add 4 to the x-coordinate

• Subtract 4 from the y-coordinate

• Subtract 4 from the x-coordinate

• Add 4 to the y-coordinate

What is the new coordinate of (3, 2) after rotating it 90 degrees counterclockwise?

• (-2, 3)

• (3, -2)

• (-3, 2)

• (2, -3)

After reflecting a point over the x-axis, what is the new coordinate of (5, -3)?

• (5, -3)

• (5, 3)

• (-5, 3)

• (-5, -3)

Which transformation involves switching the x and y coordinates and changing the sign of the new x-coordinate?

• 90 degrees clockwise rotation

• Reflection over the y-axis

• 180 degrees rotation

• 90 degrees counterclockwise rotation

If a point (2, 3) is translated 6 units to the left and 4 units down, what is the new coordinate?

• (8, 7)

• (-4, -1)

• (-4, 7)

• (8, -1)