Exploring Translations, Reflections, and Rotations

What is a transformation in geometry?

• A method to measure figures

• A change in the size or position of a figure

• A type of geometric proof

• A formula to calculate area

What does a translation do to a figure?

• Flips it over a line

• Slides it along a straight line

• Rotates it around a point

• Changes its color

Which transformation involves sliding a figure left or right?

• Scaling

• Reflection

• Translation

• Rotation

What is the effect of translating a figure up and to the right?

• Decrease in both x and y coordinates

• Increase in both x and y coordinates

• Increase in y and decrease in x coordinates

• Increase in y and increase in x coordinates

How does a reflection affect a figure's coordinates when flipped over the y-axis?

• X-coordinates become negative

• Y-coordinates become negative

• X-coordinates are unchanged

• Both coordinates become zero

What happens to a figure's coordinates during a reflection over the x-axis?

• Y-coordinates are inverted

• X-coordinates are inverted

• Coordinates are swapped

• Both coordinates are inverted

Which axis do you flip over to change a figure's x-coordinates to their opposites?

• x-axis

• It cannot be done

• y-axis

• z-axis

What is the result of a 90-degree rotation on a figure's coordinates?

• X and Y coordinates are swapped and X becomes negative

• X and Y coordinates are swapped and Y becomes negative

• Coordinates remain the same

• Coordinates become their absolute values

In a 180-degree rotation, what happens to the coordinates of a figure?

• Both coordinates become negative

• Both coordinates become positive

• Coordinates are swapped without sign change

• No change to coordinates

What does a 360-degree rotation do to a figure?

• Makes it vanish

• Turns it into a mirror image

• Flips it over the x-axis

• Returns it to its original position