Translation and Reflection

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 line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) is transformed to (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, so (x, y) becomes (x, -y).

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips it over a line.

Front

How do you reflect a point (3, 4) over the y-axis?

Back

The reflected point is (-3, 4).

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

The reflected point is (-2, -5).

Front

If a triangle is reflected over the x-axis, what happens to its vertices?

Back

The y-coordinates of all vertices change sign.

Front

What is the transformation that moves a shape without changing its size or orientation?

Back

Translation.

Front

How do you identify the line of reflection in a given figure?

Back

The line of reflection is the line that is equidistant from corresponding points of the original and reflected figures.

Front

What is the effect of reflecting a shape over the line y = 1?

Back

Each point (x, y) is transformed to (x, 2 - y).