Unit 4.1 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 write a rule for a translation?

Back

A translation rule is written in the form (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to reflect a point over a line?

Back

To reflect a point over a line means to create a mirror image of the point across that line.

Front

What is the reflection of the point (x, y) over the line y = x?

Back

The reflection of the point (x, y) over the line y = x is (y, x).

Front

What is the reflection of the point (x, y) over the line y = -x?

Back

The reflection of the point (x, y) over the line y = -x is (-y, -x).

Front

What is the effect of a translation of 5 units left and 1 unit up on the point (3, 2)?

Back

The new point after the translation will be (-2, 3).

Front

What is the general formula for reflecting a point (x, y) over the x-axis?

Back

The reflection of the point (x, y) over the x-axis is (x, -y).

Front

What is the general formula for reflecting a point (x, y) over the y-axis?

Back

The reflection of the point (x, y) over the y-axis is (-x, y).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.

Front

How do you determine the coordinates of a point after a translation?

Back

To determine the new coordinates after a translation, add the translation values to the original coordinates.