Geometric Transformations

Front

What is a geometric transformation?

Back

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

Front

Define translation in geometric transformations.

Back

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

Front

What is rotation in geometric transformations?

Back

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

Front

Define reflection in geometric transformations.

Back

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

Front

What is dilation in geometric transformations?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the effect of a 90° counterclockwise rotation on the coordinates of a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

What is the effect of a reflection over the line y = x on the coordinates of a point (x, y)?

Back

The new coordinates after reflection over the line y = x are (y, x).

Front

What is the effect of a reflection over the line y = -x on the coordinates of a point (x, y)?

Back

The new coordinates after reflection over the line y = -x are (-y, -x).

Front

If point A at (-3, -2) is reflected over the line y = -x, what are the new coordinates?

Back

The new coordinates are (2, 3).