Review ~ Translations, Reflections & Rotations

Front

What is a translation in geometry?

Back

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

Front

How do you determine the new coordinates of a point after a translation?

Back

To find the new coordinates after a translation, you add the translation values to the original coordinates. For example, if a point (x, y) is translated by (a, b), the new coordinates will be (x + a, y + b).

Front

What are the new coordinates of the point (2, -4) after reflecting over the y-axis?

Back

The new coordinates are (-2, -4).

Front

What is the effect of reflecting a point over the y-axis?

Back

Reflecting a point over the y-axis changes the sign of the x-coordinate while the y-coordinate remains the same.

Front

How do you reflect a point over the line y = -x?

Back

To reflect a point (x, y) over the line y = -x, you swap the coordinates and change their signs, resulting in (-y, -x).

Front

What are the new coordinates of the point (6, -3) after reflecting over the line y = -x?

Back

The new coordinates are (3, -6).

Front

What is the algebraic notation for reflecting a point over the y-axis?

Back

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

Front

What is the algebraic notation for reflecting a point over the line y = -x?

Back

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

Front

What does a 90° clockwise rotation around the origin do to the coordinates of a point?

Back

A 90° clockwise rotation around the origin transforms the coordinates (x, y) to (y, -x).

Front

If triangle A is rotated 90° clockwise, what is the new position of its vertices?

Back

The new position of the vertices will depend on the original coordinates of triangle A, transformed according to the 90° clockwise rotation rule.