Similarity Flashcard #6 Review

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

If two triangles are similar, what can we say about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 6 cm, what can we say about the corresponding side in triangle B if the scale factor is 2?

Back

The corresponding side in triangle B would be 12 cm (6 cm x 2).

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.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 2 (8 cm / 4 cm).

Front

Find the missing length if triangle ABC is similar to triangle DEF and the lengths of sides are 5 cm and x cm, with a scale factor of 3. What is x?

Back

x = 15 cm (5 cm x 3).

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor of two similar triangles is 3:1, what is the ratio of their areas?

Back

The ratio of their areas is 9:1 (3^2:1^2).

Front

What is the definition of congruent shapes?

Back

Congruent shapes are shapes that are the same size and shape, meaning all corresponding sides and angles are equal.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 10 cm, what is the length of side PQ if the scale factor is 1:2?

Back

The length of side PQ is 5 cm (10 cm / 2).