Geometric Transformations REVIEW

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometric transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, known as 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 figure but keeps its shape the same, defined by a scale factor.

Front

How do you find the line of symmetry in a shape?

Back

A line of symmetry is a line that divides a shape into two identical halves. To find it, look for lines that can be drawn through the shape where both sides are mirror images.

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 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

Describe a 90° clockwise rotation.

Back

A 90° clockwise rotation turns a figure 90 degrees to the right around a specified point.

Front

What happens to the coordinates of a point (x, y) after a reflection over the y-axis?

Back

After reflecting over the y-axis, the coordinates change from (x, y) to (-x, y).

Front

How do you perform a 180° rotation on a point (x, y)?

Back

A 180° rotation changes the coordinates of a point (x, y) to (-x, -y).