Understanding Dilations on the Coordinate Plane

What happens to a geometric figure on the coordinate plane when it undergoes a dilation with a factor less than 1?

• It becomes larger.

• It remains the same size.

• It becomes smaller.

• It changes shape.

If a triangle undergoes a dilation with a factor of 1/3, what should you do to its coordinates?

• Add 1/3 to each coordinate.

• Multiply each coordinate by 1/3.

• Subtract 1/3 from each coordinate.

• Divide each coordinate by 1/3.

What is the result of a dilation with a factor greater than 1?

• The figure becomes smaller.

• The figure changes shape.

• The figure becomes larger.

• The figure remains unchanged.

How do you perform a dilation with a factor of 3 on a geometric figure?

• Add 3 to each coordinate.

• Multiply each coordinate by 3.

• Subtract 3 from each coordinate.

• Divide each coordinate by 3.

What is the effect of a dilation factor of 1 on a geometric figure?

• The figure changes shape.

• The figure becomes larger.

• The figure becomes smaller.

• The figure remains the same size.

If a figure is reduced by a factor of 1/2, what happens to its size?

• It doubles in size.

• It remains the same.

• It halves in size.

• It triples in size.

What is the result of multiplying the coordinates of a point by 3/4?

• The point remains unchanged.

• The point moves closer to the origin.

• The point moves further from the origin.

• The point changes direction.

What is the new coordinate of a point (2, -3) after a dilation with a factor of 2?

• (4, -6)

• (1, -1.5)

• (2, -3)

• (0, 0)

How does a dilation factor of 2.5 affect a geometric figure?

• It reduces the figure to half its size.

• It changes the shape of the figure.

• It keeps the figure the same size.

• It enlarges the figure by 2.5 times.

If a figure is enlarged by a factor of 2, what happens to its coordinates?

• They are divided by 2.

• They remain the same.

• They are subtracted by 2.

• They are multiplied by 2.