Translations, Reflections, & Rotations: Check-In

Front

What is a translation in geometry?

Back

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

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of each point.

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, by a specified angle.

Front

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

Back

To find the new coordinates, add the translation values to the original coordinates (x,y) to get (x + a, y + b).

Front

What is the rule for a 180° rotation around the origin?

Back

The rule for a 180° rotation around the origin is (x, y) -> (-x, -y).

Front

If triangle C is rotated 180° clockwise, what happens to its orientation?

Back

The triangle will be flipped upside down and its position will change accordingly.

Front

What is the effect of translating a figure 2 units left?

Back

Translating a figure 2 units left means subtracting 2 from the x-coordinates of all points in the figure.

Front

How can you identify a reflection across the y-axis?

Back

A reflection across the y-axis changes the sign of the x-coordinates of each point, resulting in (x, y) -> (-x, y).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure without changing its orientation, while a rotation turns a figure around a point, changing its orientation.

Front

What does the transformation rule (x - 6, y + 8) indicate?

Back

This rule indicates that to find the new coordinates, subtract 6 from the x-coordinate and add 8 to the y-coordinate.