Similarity

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a scale in the context of maps?

Back

A scale is a ratio that compares a distance on the map to the actual distance it represents in real life.

Front

If a map scale is 1 cm : 50 km, how do you find the actual distance between two points on the map?

Back

Multiply the distance on the map (in cm) by the scale factor (50 km) to find the actual distance.

Front

What is the relationship between corresponding angles in similar triangles?

Back

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

Front

How do you find a missing side length in similar triangles?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about the ratios of their sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC to triangle DEF are equal.

Front

What is the formula to calculate the actual distance using a map scale?

Back

Actual Distance = Distance on Map × Scale Factor.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

If two figures are similar, what can be said about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.