Dilations and Similarity

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Front

If two figures are similar, the corresponding angles are ______________.

Back

Congruent

Front

Tell whether the two figures are congruent or similar: Congruent, because their sides are the same or Similar, because their sides are proportional.

Back

Congruent, because their sides are the same.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of DEF are twice as long as those of ABC?

Back

2/1

Front

If ABC ~ XYZ, what is the scale factor of the dilation of ABC to XYZ if the sides of XYZ are 2/3 the length of ABC?

Back

2/3

Front

Define similarity in geometry.

Back

Similarity in geometry means that two figures have the same shape but not necessarily the same size.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Front

What is the relationship between scale factor and similarity?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar figures.