Transformations Test

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to rotate a figure 90 degrees clockwise?

Back

Rotating a figure 90 degrees clockwise means turning the figure 90 degrees to the right around a fixed point.

Front

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

Back

Reflecting a figure across the x-axis means flipping the figure over the x-axis, changing the sign of the y-coordinates of its points.

Front

What is the rule for translating a point (x, y) 5 units right and 3 units down?

Back

The rule is (x, y) → (x + 5, y - 3).

Front

How do you identify a translation?

Back

A translation can be identified by a consistent change in the coordinates of all points in a shape, without any rotation or reflection.

Front

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

Back

The effect of a 180-degree rotation on a point (x, y) is (x, y) → (-x, -y).

Front

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

Back

The transformation rule is (x, y) → (-x, y).