Transformations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where (a, b) is the vector that indicates the direction and distance of the translation.

Front

What is a dilation in geometry?

Back

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

Front

How do you determine the scale factor in a dilation?

Back

The scale factor is determined by comparing the lengths of corresponding sides of the original figure and the dilated figure.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

How do you translate a point 3 units to the left and 9 units down?

Back

To translate a point (x, y) 3 units left and 9 units down, you would use the transformation (x - 3, y - 9).

Front

What is the result of translating the point (1, 4) by (x - 2, y + 9)?

Back

The result would be (-1, 13).

Front

If point A(3, 5) is dilated to A’(6, 10), what is the scale factor?

Back

The scale factor is 2.