Exploring Adding and Subtracting Rational Expressions

What does dilation in geometry refer to?

• Shifting a figure from one position to another

• Changing the color of a figure

• Rotating a figure around a point

• Enlarging or reducing a figure's size

What symbol is used to represent the scale factor in dilations?

• K

• D

• F

• S

If the scale factor (K) is less than 1, what happens to the figure?

• It rotates

• It enlarges

• It remains the same size

• It reduces in size

In the context of dilations, what are similar figures?

• Figures with the same color

• Figures with the same size and shape

• Figures that are mirror images of each other

• Figures with the same shape but different sizes

What is the effect of a scale factor greater than 1 on a figure?

• It causes the figure to rotate

• It reduces the figure's size

• It enlarges the figure

• It translates the figure

How do you calculate the coordinates of a point after dilation?

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

What is the result of a dilation when the scale factor is 2?

• The figure's size doubles

• The figure's size remains unchanged

• The figure's size is halved

• The figure rotates 180 degrees

Why is labeling points important in graphing dilations?

• To identify the figure's color

• To ensure accurate measurement

• To track the transformation of each point

• To make the graph look neat

What does a scale factor of 1/2 indicate in a dilation?

• The figure will rotate by half

• The figure will double in size

• The figure will remain the same size

• The figure will reduce to half its size

How do you find the original points of a figure after a dilation with a known scale factor?

• Subtract the scale factor from the dilated points

• Multiply the dilated points by the scale factor

• Add the scale factor to the dilated points

• Divide the dilated points by the scale factor