Geometric Transformations

Front

What is a geometric transformation?

Back

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

Front

What is translation in geometry?

Back

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

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is a reflection in geometry?

Back

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

Front

What is rotation in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape by a scale factor, while maintaining its shape.

Front

What is the effect of a 180° rotation on a shape?

Back

A 180° rotation turns a shape upside down, resulting in a figure that is congruent to the original.

Front

How does a reflection across the x-axis affect the coordinates of a point (x, y)?

Back

Reflecting across the x-axis changes the coordinates to (x, -y).

Front

What is the difference between a translation and a dilation?

Back

Translation moves a shape without changing its size or shape, while dilation changes the size of a shape but keeps its proportions.

Front

What is the result of translating a shape 4 units to the right and 4 units down?

Back

The new coordinates of each point of the shape will be (x+4, y-4).