SGO 3 Test: Congruence Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 5 units down and 5 units to the right?

Back

The new coordinates will be (x + 5, y - 5).

Front

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

Back

The y-coordinate changes sign. For example, (x, y) becomes (x, -y).

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 certain angle.

Front

How do you rotate a point (x, y) 270° counterclockwise around the origin?

Back

The new coordinates will be (y, -x).

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to slide a figure in geometry?

Back

Sliding a figure means to translate it without changing its shape, size, or orientation.

Front

If triangle ABC is translated 2 units to the left and 9 units up, what are the new coordinates of point A (x, y)?

Back

The new coordinates will be (x - 2, y + 9).

Front

What is the effect of a 90° clockwise rotation on the coordinates of a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.