Transformations Unit Test 2024 V2

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

How do you perform a translation given a vector (x,y) to (x+a, y+b)?

Back

To perform a translation, add 'a' to the x-coordinates and 'b' to the y-coordinates of each point in the figure.

Front

What is a glide reflection?

Back

A glide reflection is a transformation that combines a translation and a reflection over a line parallel to the direction of the translation.

Front

What does it mean for a shape to be congruent after a transformation?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rotations, translations, or reflections.

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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

What happens to a point (x,y) when it is reflected over the x-axis?

Back

When reflected over the x-axis, the point (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 determine the new coordinates of a point after a 90-degree rotation counterclockwise around the origin?

Back

For a point (x,y), after a 90-degree counterclockwise rotation, the new coordinates will be (-y,x).

Front

What is the effect of a 180-degree rotation on a point (x,y)?

Back

After a 180-degree rotation, the point (x,y) becomes (-x,-y).