Transformation Review

Front

What is a translation in geometry?

Back

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

Front

How do you determine the new coordinates after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates. For example, if a point (x, y) is translated by (a, b), the new point will be (x + a, y + b).

Front

What happens to the coordinates of a point when it is translated 3 units left and 9 units down?

Back

The x-coordinate decreases by 3 and the y-coordinate decreases by 9.

Front

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

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

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

Back

When a point (x, y) is reflected across the y-axis, its new coordinates become (-x, y).

Front

What does a reflection do to the coordinates of a point?

Back

A reflection changes the sign of the coordinate that is perpendicular to the axis of reflection.

Front

If point K is at (1, 4), what are the coordinates of K' after reflecting across the x-axis?

Back

K' would be at (1, -4).

Front

What is the difference between a translation and a reflection?

Back

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

Front

What does it mean to slide a figure in geometry?

Back

To slide a figure means to perform a translation, moving it to a new position without altering its shape or size.

Front

If trapezoid ABCD is translated 5 units down and 4 units to the right, what happens to its vertices?

Back

Each vertex of trapezoid ABCD will move down 5 units and right 4 units to form trapezoid A'B'C'D'.