Geometry - Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but not its shape. It is 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. A scale factor greater than 1 indicates enlargement, while a scale factor less than 1 indicates reduction.

Front

If AB = 5 units and A'B' = 7 units, what is the scale factor?

Back

7/5 (Enlargement)

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a central point and still look the same at certain angles.

Front

What is the angle of rotational symmetry for a hexagon?

Back

60 degrees.

Front

What is a reflection in geometry?

Back

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

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The new point will be (-x, y).

Front

What happens to a point (x, y) when it is rotated 180° about the origin?

Back

The new point will be (-x, -y).

Front

Identify the transformation from ABC to A'B'C' if it is a reflection across the x-axis.

Back

The coordinates of points will change from (x, y) to (x, -y).