Exploring Translation, Reflection, and Rotation in Geometry

What does it mean to translate a shape on a coordinate plane?

• To resize the shape

• To rotate the shape

• To slide the shape

• To flip the shape

If a point moves 5 units to the right and 8 units down, how is this written algebraically?

• (x + 5, y - 8)

• (x - 5, y - 8)

• (x - 5, y + 8)

• (x + 5, y + 8)

When translating a shape, what happens if you move to the left?

• The x-coordinate decreases

• The y-coordinate decreases

• The x-coordinate increases

• The y-coordinate increases

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

• Both coordinates change sign

• Neither coordinate changes sign

• The y-coordinate changes sign

• The x-coordinate changes sign

If a point is 3 units away from the x-axis, where will it be after reflection over the x-axis?

• 3 units above the x-axis

• 3 units below the x-axis

• 3 units to the right of the x-axis

• 3 units to the left of the x-axis

What happens to a point when it is reflected over the y-axis?

• Neither coordinate changes sign

• Both coordinates change sign

• The y-coordinate changes sign

• The x-coordinate changes sign

In which quadrant will a point be after a 90-degree counterclockwise rotation from Quadrant I?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the result of a 180-degree rotation of a point?

• The point moves to the next quadrant

• The point moves to the adjacent quadrant

• The point remains in the same quadrant

• The point moves to the opposite quadrant

What happens to a shape after a 360-degree rotation?

• It moves to the opposite quadrant

• It moves to the next quadrant

• It returns to its original position

• It flips over

Which transformations are combined in the final example?

• Rotation and dilation

• Translation, reflection, and rotation

• Reflection and rotation

• Translation and dilation