G Module 4A Transformations Project: Pick your Favorite!

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a figure 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 figure the same distance in the same direction.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure 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 figure over a line, creating a mirror image of the original figure.

Front

What does dilation mean in geometry?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you perform a translation on a point (x, y)?

Back

To translate a point (x, y) by (a, b), you add a to x and b to y, resulting in the new point (x+a, y+b).

Front

What is the effect of a 90-degree rotation on a point (x, y)?

Back

A 90-degree rotation of a point (x, y) around the origin results in the new point (-y, x).

Front

Describe the process of reflecting a point across the x-axis.

Back

To reflect a point (x, y) across the x-axis, the new point becomes (x, -y).

Front

What is the result of a dilation with a scale factor of 2 on a triangle with vertices at (1, 1), (2, 2), and (3, 1)?

Back

The new vertices after dilation will be (2, 2), (4, 4), and (6, 2).