Reflections and Translations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a shape two units to the left?

Back

To translate a shape two units to the left, subtract 2 from the x-coordinate of each point of the shape.

Front

What is the effect of translating a shape downwards?

Back

Translating a shape downwards involves subtracting from the y-coordinate of each point of the shape.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for a reflection across the x-axis?

Back

The line of reflection for a reflection across the x-axis is the x-axis itself, where the y-coordinates of points are negated.

Front

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

Back

When reflected across the y-axis, the coordinates of the point (x, y) become (-x, y).

Front

What is the difference between a translation and a reflection?

Back

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

Front

How can you determine the direction of a translation?

Back

The direction of a translation can be determined by the changes in the x and y coordinates of the points of the shape.

Front

What is the notation used to describe a translation?

Back

A translation is often described using vector notation, such as T(x, y) = (x + a, y + b), where (a, b) is the translation vector.

Front

What does it mean to translate triangle A'B'C' to triangle ABC?

Back

It means to move triangle A'B'C' to the position of triangle ABC by applying the specified translation vector.