Math 8 - Translations, Reflections and 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 specified direction.

Front

Write the rule for translating a point (x, y) 3 units up and 2 units right.

Back

(x, y) --> (x + 2, y + 3)

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Front

If point P has coordinates (-8, -2), what are its new coordinates after reflecting across the x-axis?

Back

(-8, 2)

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

(x, y) --> (x, -y) - The x-coordinate stays the same, and the y-coordinate changes sign.

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

(x, y) --> (-x, y) - The x-coordinate changes sign, and the y-coordinate stays the same.

Front

What is the result of reflecting the point (-5, 7) over the x-axis?

Back

(-5, -7) - The x-coordinate remains the same, and the y-coordinate changes sign.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

Identify the transformation from triangle ABC to triangle A'B'C' if it is reflected across the x-axis.

Back

Reflection across the x-axis.

Front

What is the rule for rotating a point (x, y) 90 degrees clockwise around the origin?

Back

(x, y) --> (y, -x) - The x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative x-coordinate.