Reflections and Translations

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, known as the mirror line, creating a mirror image.

Front

What is the mirror line for the reflection of a point (x, y)?

Back

The mirror line can be represented by the equation y = x, which reflects points across the line where x equals y.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the size and shape of a figure, meaning the figure remains congruent after the transformation.

Front

Which transformations are considered rigid motions?

Back

Reflections, translations, and rotations are all considered rigid motions.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

How do you translate a point (x, y) 3 units left and 5 units down?

Back

The algebraic representation of this translation is (x-3, y-5).

Front

If point X is at (1, 4), where will it be after translating 3 units left and 9 units down?

Back

Point X' will be at (-2, -5) after the translation.

Front

What is the effect of a translation on the coordinates of a figure?

Back

A translation shifts the coordinates of a figure by adding or subtracting values from the x and y coordinates.

Front

What is the difference between a reflection and a translation?

Back

A reflection flips a figure over a line, while a translation slides a figure from one position to another without changing its orientation.

Front

What is the formula for reflecting a point (x, y) over the line y = x?

Back

The reflected point will be (y, x) when reflected over the line y = x.