Reflections and Translations

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

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one position to another without changing its shape or orientation.

Front

When a figure is translated to the right, what happens to the x-coordinates?

Back

You add to the x-value.

Front

When a figure is translated up, what happens to the y-coordinates?

Back

You add to the y-value.

Front

What is the result of translating a point (3, 4) left 2 and up 5?

Back

The new coordinates are (1, 9).

Front

What is the effect of a reflection across the line y = x on the point (a, b)?

Back

The coordinates become (b, a).

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a point.

Front

If triangle ABC is reflected across the x-axis, what happens to the vertices?

Back

The y-coordinates of the vertices are inverted.