Informal Geometry Transformations Test

Front

What is a transformation in geometry?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

Explain reflection in geometry.

Back

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

Front

What is a line of reflection?

Back

A line of reflection is the line over which a shape is reflected to create a mirror image.

Front

What does it mean for a transformation to be a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of a shape (scale factor > 1), while reduction decreases the size of a shape (scale factor < 1).

Front

How do you determine if a line is a line of reflection?

Back

To determine if a line is a line of reflection, check if each point on the shape is equidistant from the line and that the corresponding points are perpendicular to the line.

Front

What is the x-axis in a coordinate plane?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis in a coordinate plane?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.