Similarity Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a transformation that alters the size of a figure but maintains its shape, resulting in similar figures.

Front

What happens to the angles of a figure during a dilation?

Back

The corresponding angles remain congruent during a dilation.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure's size is reduced to half of its original size.

Front

What must be true for two figures to be considered similar?

Back

They must have proportional sides and equal corresponding angles.

Front

How do you find the missing side in similar triangles?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the missing side.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

What does it mean for two triangles to be similar?

Back

It means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is an example of a similarity transformation?

Back

An example is dilating a triangle by a scale factor of 2, resulting in a larger triangle that maintains the same shape.

Front

Can a figure be rotated and still be similar to the original?

Back

Yes, rotation is a type of similarity transformation that does not affect the shape or size.