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 produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a 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 scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs when the scale factor is less than 1.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may have different sizes.

Front

What is the result of a reflection transformation?

Back

A reflection transformation produces a mirror image of a figure across a line of reflection.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

What happens to the coordinates of a point (x, y) under a translation of (x + a, y + b)?

Back

The new coordinates will be (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.