Flashcardizz Review - Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

Front

What is a rotation in geometry?

Back

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

Front

Explain reflection in geometric transformations.

Back

Reflection is a transformation that flips a shape over a line, known as the line of reflection, creating a mirror image of the original shape.

Front

What does dilation mean in transformations?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same. It is defined by a scale factor.

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations (like translation, rotation, and reflection) preserve the shape and size of the figure, while non-rigid transformations (like dilation) change the size.

Front

How do you perform a translation on a point (3, 4) by the vector (2, -1)?

Back

To translate the point (3, 4) by the vector (2, -1), add the vector components to the point: (3+2, 4-1) = (5, 3).

Front

What is the effect of a 90-degree rotation counterclockwise on the point (1, 0)?

Back

A 90-degree rotation counterclockwise transforms the point (1, 0) to (0, 1).

Front

Describe the line of reflection for the point (2, 3) reflected over the line y = x.

Back

The line of reflection y = x swaps the x and y coordinates, so the reflection of the point (2, 3) is (3, 2).

Front

What is the scale factor in a dilation that enlarges a shape by a factor of 3?

Back

The scale factor in a dilation that enlarges a shape by a factor of 3 is 3.