Review - Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may be different in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

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

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

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the lengths of their corresponding sides are proportional.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

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

Back

Yes, if their corresponding angles are also equal, then they are similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are congruent.

Front

If a triangle has sides of lengths 4, 6, and 8, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 8, 12, and 16.

Front

What is the formula to find the length of a side in similar figures?

Back

If two figures are similar, the ratio of the lengths of corresponding sides is equal to the ratio of their scale factors.

Front

If a scale drawing has a scale of 1 cm : 10 m, how long is a 5 cm drawing in real life?

Back

The real-life length is 50 m.