Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What is the result of reflecting the point (3, 2) over the y-axis?

Back

The result is (-3, 2).

Front

What does the term 'reflection' mean in geometry?

Back

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

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where y=0.

Front

What color is the x-axis?

Back

The x-axis is typically represented in black.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where x=0.

Front

What does the transformation (x, y) --> (x + 2, y - 3) represent?

Back

This transformation represents a translation 2 units to the right and 3 units down.

Front

How do you translate a shape 3 units left?

Back

To translate a shape 3 units left, subtract 3 from the x-coordinates of all points in the shape.

Front

What is the effect of translating a shape 3 units up?

Back

Translating a shape 3 units up adds 3 to the y-coordinates of all points in the shape.