Translations and Reflections

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 pre-image in a transformation?

Back

The pre-image is the original shape or figure before any transformation takes place.

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 (-x, y).

Front

What is the image in a transformation?

Back

The image is the resulting shape or figure after a transformation has been applied.

Front

What is the arrow notation for a translation?

Back

Arrow notation for a translation describes how each point of a shape moves, e.g., (x, y) --> (x + a, y + b).

Front

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

Back

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

Front

What happens to the coordinates of a point when it is reflected over the line y = k?

Back

The y-coordinate of the point is adjusted based on the distance from the line y = k.

Front

What is an isometry?

Back

An isometry is a transformation that preserves distances and angles, meaning the shape remains congruent.

Front

If point A(3, -4) is reflected over the line y = 2, what are the coordinates of A'?

Back

A' will be (3, 10) after reflection.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates.