Translations & Reflections on the Coordinate Plane

Front

What is the algebraic representation of a reflection across the y-axis?

Back

(x, y) --> (-x, y)

Front

What is the image of point B(-2, 4) reflected over the x-axis?

Back

(-2, -4)

Front

When reflecting a point over the x-axis, which coordinate remains unchanged?

Back

x-coordinate

Front

What transformation does the rule (x, y) --> (-x, y) represent?

Back

Reflect over the y-axis

Front

What does congruency mean in geometry?

Back

Same size and shape

Front

What is the algebraic representation of a reflection across the x-axis?

Back

(x, y) --> (x, -y)

Front

How do you determine the image of a point reflected over the y-axis?

Back

Change the sign of the x-coordinate.

Front

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

Back

The y-coordinates of the points are negated.

Front

What is the relationship between reflections and congruency?

Back

Reflections produce congruent figures.

Front

What is the definition of a transformation in geometry?

Back

A change in the position, size, or shape of a figure.