Translation & Reflection Quick Check

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the algebraic rule for reflecting a point across the x-axis?

Back

The algebraic rule is (x, y) → (x, -y).

Front

If a point (x, y) is reflected across the y-axis, what are the new coordinates?

Back

The new coordinates are (-x, y).

Front

What type of transformation is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is the algebraic rule for translating a point (x, y) by (a, b)?

Back

The algebraic rule is (x, y) → (x + a, y + b).

Front

What happens to the coordinates of a point when it is reflected across the line y = x?

Back

The coordinates change from (x, y) to (y, x).

Front

What is the difference between translation and reflection?

Back

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

Front

What type of transformation is an enlargement?

Back

An enlargement is a transformation that increases the size of a shape while maintaining its proportions.

Front

If quadrilateral ABCD is reflected across the x-axis, what happens to the y-coordinates of its vertices?

Back

The y-coordinates of the vertices are multiplied by -1.