Guess My Transformation

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a shape in a plane. This can include translations (slides), rotations (turns), reflections (flips), and dilations (resizing).

Front

Define translation in the context of transformations.

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

Explain reflection in geometric transformations.

Back

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

Front

What does dilation mean in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, either enlarging or reducing it.

Front

How do you identify the center of rotation?

Back

The center of rotation is the fixed point around which a shape rotates. It can be found by observing the point that remains unchanged during the rotation.

Front

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

Back

Rigid transformations (like translations, rotations, and reflections) preserve the shape and size of a figure, while non-rigid transformations (like dilations) change the size.

Front

Provide an example of a translation.

Back

If a triangle with vertices at (1, 2), (3, 4), and (5, 6) is translated 2 units right and 3 units up, the new vertices will be (3, 5), (5, 7), and (7, 9).

Front

What is the effect of a reflection over the x-axis?

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

How do you perform a dilation with a scale factor of 2?

Back

To perform a dilation with a scale factor of 2, multiply the coordinates of each point of the shape by 2. For example, (x, y) becomes (2x, 2y).