Exploring Translations, Reflections, Rotations, and Dilations

What happens to the x-value of a point when it is translated 3 units to the left?

• It is increased by 3

• It is multiplied by 3

• It is divided by 3

• It is decreased by 3

How does moving a point up 3 units affect its y-value?

• Decreases by 3

• Increases by 3

• Multiplies by 3

• Remains unchanged

When reflecting a point across the y-axis, how are the coordinates affected?

• x becomes opposite, y remains the same

• Both x and y become their opposites

• y becomes opposite, x remains the same

• Neither x nor y changes

What is the result of reflecting a point across the line y=x?

• Swap x and y coordinates

• Make x and y coordinates opposite

• Only y becomes its opposite

• Only x becomes its opposite

What is the rule for a 90-degree clockwise rotation around the origin?

• x, opposite of y

• opposite of x, opposite of y

• opposite of y, x

• y, opposite of x

For a 180-degree rotation around the origin, how are the point's coordinates changed?

• Coordinates remain the same

• Coordinates swap places

• Coordinates are multiplied by 2

• Both coordinates become their opposites

If a point is dilated with a scale factor of 2, what happens to its coordinates?

• Both coordinates are multiplied by 2

• Both coordinates are divided by 2

• y is multiplied by 2, x remains the same

• x is multiplied by 2, y remains the same

What effect does a scale factor less than 1 have on a figure?

• It enlarges the figure

• It rotates the figure

• It reduces the figure's size

• It reflects the figure

What does a reflection over the line x=1 imply for a figure?

• It flips over the y-axis

• It flips over the x-axis

• It flips over a horizontal line at y=1

• It flips over a vertical line at x=1

Which line is not a line of symmetry for a square?

• The x-axis

• x=1

• y=-x

• y=x