Enjambre Dilations and Scale Factor Flashcard

Front

What is a dilation in geometry?

Back

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

Front

What is a scale factor?

Back

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

Front

If the scale factor is 2, what happens to the size of the figure?

Back

The size of the figure increases by a factor of 2.

Front

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

Back

The new coordinates are (kx, ky).

Front

If the original coordinates are (3, 4) and the scale factor is 2, what are the new coordinates?

Back

(6, 8) - calculated as (2*3, 2*4).

Front

What happens to the size of a figure if the scale factor is less than 1?

Back

The size of the figure decreases.

Front

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

Back

The figure remains the same size.

Front

If triangle ABC has vertices A (-2, 2), B (2, 4), and C (3, -1), what are the coordinates of A' after a dilation by a scale factor of 2.5?

Back

A' is (-5, 5) - calculated as (2.5 * -2, 2.5 * 2).

Front

How do you determine the scale factor from two similar figures?

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What is the scale factor if a triangle is dilated from a size of 3 to a size of 9?

Back

The scale factor is 3.