Similarity

Front

What is a similarity statement in geometry?

Back

A similarity statement indicates that two figures are similar, meaning they have the same shape but may differ in size. It is typically written using the symbol '~', for example, ΔYZX~ΔNWE.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

How do you determine if two triangles are similar?

Back

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

Front

What does it mean for angles in similar figures?

Back

In similar figures, all corresponding angles are congruent, meaning they have the same measure.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion, which means the ratios of the lengths of the sides are equal.

Front

Can two figures be similar if they have different shapes?

Back

No, two figures cannot be similar if they have different shapes. They must have the same shape but can differ in size.

Front

What is the significance of the scale factor being greater than 1?

Back

If the scale factor is greater than 1, it indicates that the image is an enlargement of the original figure.

Front

What is the significance of the scale factor being less than 1?

Back

If the scale factor is less than 1, it indicates that the image is a reduction of the original figure.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor can be found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.