Similar Figures

Front

What is the scale factor from a smaller similar figure to a larger similar figure?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. For example, if the scale factor is 2, then each side of the larger figure is twice as long as the corresponding side of the smaller figure.

Front

Are all angles in similar figures congruent?

Back

True. In similar figures, corresponding angles are equal.

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar. Similar figures have the same shape but may differ in size.

Front

If a small triangle has sides of 2 cm, 3 cm, and 4 cm, what are the corresponding sides of a similar triangle with a scale factor of 2?

Back

The corresponding sides would be 4 cm, 6 cm, and 8 cm.

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but different sizes, with corresponding angles that are equal and corresponding sides that are proportional.

Front

If the scale factor from figure A to figure B is 3, and the length of a side in figure A is 5 cm, what is the length of the corresponding side in figure B?

Back

15 cm. (5 cm x 3 = 15 cm)

Front

Find the missing side length if the scale factor is 1/2 and the corresponding side in the larger figure is 6 cm.

Back

3 cm. (6 cm x 1/2 = 3 cm)

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the scale factor.

Front

If two similar rectangles have a scale factor of 4, and the perimeter of the smaller rectangle is 10 cm, what is the perimeter of the larger rectangle?

Back

40 cm. (10 cm x 4 = 40 cm)

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm while side DE is 9 cm, what is the scale factor?

Back

The scale factor is 3/2 or 1.5. (9 cm / 6 cm = 1.5)