Transformational Geometry-Reflections and Translation

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 a translation in geometry?

Back

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

Front

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

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate: (x, y) becomes (-x, y).

Front

What is the result of reflecting the point (4, 5) across the y-axis?

Back

The result is (-4, 5).

Front

What does it mean to translate a figure 3 units left and 4 units down?

Back

It means to move every point of the figure 3 units to the left and 4 units down in the coordinate plane.

Front

What is the transformation represented by (x, y) → (x + 3, y - 4)?

Back

This represents a translation 3 units to the right and 4 units down.

Front

What is the effect of reflecting a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate: (x, y) becomes (x, -y).

Front

What is the result of reflecting the point (2, -3) across the x-axis?

Back

The result is (2, 3).

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 fixed point.

Front

What is the transformation represented by (x, y) → (-x, y)?

Back

This represents a reflection over the y-axis.