Transformations Test Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. The shape remains the same size and orientation.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in terms of geometric transformations.

Back

Rotation is a transformation that turns a shape 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 shape but keeps its proportions the same. It involves a scale factor that determines how much the shape is enlarged or reduced.

Front

How do you identify the coordinates of a point after a translation?

Back

To identify the new coordinates after a translation, you add the translation vector to the original coordinates of the point.

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the new point (x, -y).

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise around the origin?

Back

When a point (x, y) is rotated 90 degrees counterclockwise around the origin, the new coordinates become (-y, x).

Front

What is the scale factor in a dilation?

Back

The scale factor in a dilation is a number that determines how much a shape is enlarged or reduced. A scale factor greater than 1 enlarges the shape, while a scale factor between 0 and 1 reduces it.

Front

If a triangle has vertices at A(1,2), B(3,4), and C(5,6), what are the new coordinates after a translation of (2,3)?

Back

The new coordinates after the translation would be A'(3,5), B'(5,7), and C'(7,9).