Exploring Transformations in Algebra

What does a translation in geometry involve?

• Flipping a shape over a line

• Rotating a shape around a fixed point

• Moving a shape without altering its size or orientation

• Changing the size of a shape proportionally

Which transformation involves sliding a shape along a surface?

• Dilation

• Rotation

• Translation

• Reflection

What is the primary characteristic of a translation?

• It involves rotating a shape

• It changes the size of a shape

• It moves a shape to a new location without altering its orientation or size

• It flips a shape over a line

What is the result of reflecting a shape over a line?

• The shape rotates 180 degrees

• The shape creates a mirror image across the line

• The shape becomes larger or smaller

• The shape moves to a new position without rotating

How is the angle of rotation determined in a geometric rotation?

• By the size of the shape

• By the distance the shape moves

• By measuring the angle from the center of rotation to a point on the shape before and after the rotation

• By the number of times the shape flips over

What is necessary to perform a rotation on a shape?

• A scale factor for resizing

• A line of reflection

• A fixed point to rotate around

• A direction to slide the shape

What does the center of rotation refer to?

• The fixed point around which a shape rotates

• The point on the shape that remains stationary

• The midpoint of the shape being rotated

• The point on the shape that moves the most during the rotation

What does a dilation in geometry result in?

• A shape creating a mirror image of itself

• A shape moving to a new position

• A shape changing size while maintaining its proportions

• A shape rotating around a point

What is the effect of reflecting a shape across the x-axis?

• The shape rotates 90 degrees

• The y-coordinates of the shape's points become their opposites

• The shape increases in size

• The shape moves to a new position without changing its orientation

How can you identify a dilation among transformations?

• By finding the line of reflection

• By locating the center of rotation

• By observing a change in size while maintaining shape proportions

• By tracking the movement of the shape along a surface