Transformation Test Review

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define a translation in geometry.

Back

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

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What does 'rigid motion' mean?

Back

Rigid motion refers to transformations that preserve the shape and size of a figure, resulting in congruent figures.

Front

What is the result of a 90 degrees clockwise rotation?

Back

A 90 degrees clockwise rotation moves points in a shape to new positions that are 90 degrees to the right around the center of rotation.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the effect of reflecting a shape across the x-axis?

Back

Reflecting a shape across the x-axis changes the sign of the y-coordinates of the points in the shape.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other using rigid motions.