Dilations Coordinates

What is the effect of a dilation on the coordinates of a point?

• The coordinates of the point are added to the scale factor.

• The coordinates of the point are multiplied by the scale factor.

• The coordinates of the point are divided by the scale factor.

• The coordinates of the point remain unchanged after dilation.

If a point has coordinates (3, 4) and is dilated by a scale factor of 2, what are the coordinates of the dilated point?

• (1, 2)

• (9, 12)

• (6, 8)

• (5, 6)

When a point is dilated by a scale factor of 0.5, what happens to its coordinates?

• They are divided by 0.5.

• They are subtracted by 0.5.

• They are multiplied by 0.5.

• They are added by 0.5.

If a point is dilated by a scale factor of 3, and its original coordinates are (2, 5), what are the coordinates of the dilated point?

• (6, 15)

• (3, 8)

• (8, 20)

• (5, 10)

Explain how the x-coordinate of a point changes when it is dilated by a scale factor greater than 1.

• The x-coordinate of the point decreases.

• The x-coordinate of the point remains the same.

• The x-coordinate of the point becomes negative.

• The x-coordinate of the point increases.

If a point is dilated by a scale factor of 0.25, and its original coordinates are (-6, 8), what are the coordinates of the dilated point?

• (1.5, -2)

• (-12, 16)

• (-1.5, 2)

• (-3, 4)

Describe the effect of a dilation on the y-coordinate of a point.

• The y-coordinate is multiplied by the scale factor of the dilation.

• The y-coordinate is divided by the scale factor of the dilation.

• The y-coordinate is added to the scale factor of the dilation.

• The y-coordinate remains the same after dilation.

If a point has coordinates (-1, -3) and is dilated by a scale factor of 4, what are the coordinates of the dilated point?

• ( -4, -12)

• (0, 0)

• (16, 48)

• (1, 3)

Explain how the y-coordinate of a point changes when it is dilated by a scale factor between 0 and 1.

• The y-coordinate of the point remains the same.

• The y-coordinate of the point becomes negative.

• The y-coordinate of the point increases.

• The y-coordinate of the point decreases.

If a point is dilated by a scale factor of 5, and its original coordinates are (0, 0), what are the coordinates of the dilated point?

• (0, 5)

• (5, 5)

• (1, 1)

• (0, 0)