Dilation in Geometry Concepts

To dilate a figure from a point that is on the figure itself, how should you determine the new positions of the other vertices?

• Multiply the coordinates of all vertices by the scale factor.

• Find the distance from the center of dilation to each vertex, then multiply these distances by the scale factor.

• Add the scale factor to the coordinates of each vertex.

• Subtract the scale factor from the coordinates of each vertex.

When performing a dilation from a point that is part of the original figure, what happens to that specific point?

• It moves to the origin (0,0).

• It is multiplied by the scale factor.

• It remains in its original position.

• It moves in the opposite direction of the other points.

If a point is 12 units to the right of the center of dilation, and the scale factor is 1/2, what will be the new position of that point relative to the center of dilation?

• 6 units to the right.

• 24 units to the right.

• 12 units to the left.

• 6 units to the left.

When triangle ABC is dilated by a scale factor of 1/2 from point B, what is the new position of point A' relative to point B?

• Up 8

• Up 4

• Right 4

• Right 8

When triangle LMO is dilated by a scale factor of 2 from point L, what is the new position of point M' relative to point L?

• Right 3

• Right 2

• Right 6

• Right 4

When triangle LMO is dilated by a scale factor of 2 from point L, what is the new position of point O' relative to point L?

• Down 4

• Down 8

• Down 2

• Down 6

What type of transformation occurs when a figure is dilated by a scale factor greater than 1?

• Reduction

• Translation

• Enlargement

• Rotation