Negative Enlargements Flashcards

A transformation where the shape is enlarged with a negative scale factor, resulting in the image being inverted and on the opposite side of the centre of enlargement.

The number by which the distances from the centre of enlargement to each point of the shape are multiplied, with a negative sign indicating inversion.

The fixed point from which distances are measured in an enlargement, including negative enlargements.

The image is inverted (flipped) and appears on the opposite side of the centre of enlargement compared to the original shape.

If the scale factor is -2, the image will be twice as large as the original but inverted and on the opposite side of the centre of enlargement.

The image is similar to the original shape, but it is inverted and may be larger or smaller depending on the magnitude of the scale factor.

Measure the distance from the centre of enlargement to a point on the shape, multiply by the scale factor (including the negative sign), and plot the new point on the opposite side.

The orientation of the image is reversed compared to the original shape due to the negative scale factor.

To find the coordinates of the image, use the formula: (x', y') = (centre_x + scale_factor × (x - centre_x), centre_y + scale_factor × (y - centre_y)).

A reflection in a mirror combined with a change in size can be thought of as a negative enlargement.