Similar Figures Classwork

Front

What are similar figures?

Back

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

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal 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

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, then their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

If the scale factor of two similar figures is 3:1, and the length of a side in the smaller figure is 5 cm, what is the length of the corresponding side in the larger figure?

Back

The length of the corresponding side in the larger figure is 15 cm.

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 area of a smaller similar figure is 25 cm², and the scale factor to the larger figure is 2:1, what is the area of the larger figure?

Back

The area of the larger figure is 100 cm².

Front

Solve for x: If triangle ABC is similar to triangle DEF, and the lengths of sides are in the ratio 2:5, if side AB = 4 cm, what is side DE?

Back

Side DE = 10 cm.

Front

Solve for x: If two similar rectangles have a scale factor of 1:3 and the length of the smaller rectangle is 2 ft, what is the length of the larger rectangle?

Back

The length of the larger rectangle is 6 ft.