Proportional & Non-proportional & Similarity

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are congruent and their corresponding side lengths are proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the corresponding side lengths of two similar figures.

Front

In similar triangles, what can be said about their angles?

Back

In similar triangles, the corresponding angles are congruent (equal).

Front

In similar figures, how are the side lengths related?

Back

In similar figures, the side lengths are proportional.

Front

What is the scale factor in similar figures?

Back

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

Front

How do you set up a proportion using a map scale?

Back

To set up a proportion using a map scale, you compare the map distance to the actual distance using the scale as a ratio.

Front

If a map scale is 1cm = 8km, how would you express the distance between two points on the map that are 24cm apart?

Back

You would express it as the proportion: \( \frac{1\ cm}{8\ km} = \frac{24\ cm}{x} \) where x is the actual distance.

Front

What is the relationship between the sides of two similar triangles?

Back

The lengths of the corresponding sides of two similar triangles are in the same ratio.

Front

What is a congruent angle?

Back

A congruent angle is an angle that has the same measure as another angle.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they have two pairs of corresponding angles that are congruent.