7th Grade Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are congruent, and their corresponding side lengths are proportional.

Front

What does it mean for angles in similar figures?

Back

All corresponding angles in similar figures are congruent, meaning they have the same measure.

Front

How do you determine the scale factor between two similar figures?

Back

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

Front

If triangle ABC is similar to triangle DEF and the scale factor is 2:1, what does this mean?

Back

This means that each side of triangle DEF is half the length of the corresponding side of triangle ABC.

Front

What is the relationship between the side lengths of similar figures?

Back

The side lengths of similar figures are proportional, meaning the ratios of the lengths of corresponding sides are equal.

Front

Can two figures be similar if they are the same shape but have different side lengths?

Back

No, two figures cannot be similar if their side lengths are not proportional, even if they are the same shape.

Front

What is the scale factor from a rectangle measuring 4 in by 7 in to a rectangle measuring 24 in by 42 in?

Back

The scale factor is 6:1, as each side of the second rectangle is 6 times the length of the corresponding side of the first rectangle.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

If two triangles have one angle that is equal and the sides opposite those angles are proportional, what can be concluded?

Back

The two triangles are similar by the Angle-Angle (AA) similarity criterion.

Front

What is the importance of proportionality in similar figures?

Back

Proportionality ensures that the figures maintain their shape while differing in size, allowing for accurate comparisons and calculations.