DILATIONS

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a triangle is dilated by a scale factor of 2, what happens to its size?

Back

The triangle will be enlarged to twice its original size.

Front

What are the coordinates of a point (x, y) after dilation by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor if triangle A is dilated to triangle B with sides in the ratio 3:4?

Back

Front

How do you find the coordinates of a dilated point B(2, 3) by a scale factor of 3?

Back

Multiply the coordinates by the scale factor: B' = (2*3, 3*3) = (6, 9).

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

A scale factor of 1/2 reduces the size of the figure to half its original dimensions.

Front

If point C(4, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

C' = (4*2, 6*2) = (8, 12).

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, often related by a scale factor.