Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What is a scale factor in dilations?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement occurs when the scale factor is greater than 1.

Front

If the scale factor is between 0 and 1, what type of dilation occurs?

Back

A reduction occurs when the scale factor is between 0 and 1.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size; they have proportional corresponding sides.

Front

What does the rule (x, y) --> (kx, ky) represent?

Back

This rule represents a dilation of a point (x, y) by a scale factor k.

Front

What happens to the coordinates of a point (x, y) under a dilation with a scale factor of 2?

Back

The new coordinates will be (2x, 2y).

Front

What happens to the coordinates of a point (x, y) under a dilation with a scale factor of 1/2?

Back

The new coordinates will be (1/2 x, 1/2 y).

Front

How do you find the scale factor when a point A (x1, y1) is dilated to A' (x2, y2)?

Back

The scale factor can be found by dividing the coordinates of A' by the coordinates of A: SF = (x2/x1) = (y2/y1).

Front

What is the result of dilating a figure by a scale factor of 1?

Back

The figure remains congruent to the original figure when dilated by a scale factor of 1.