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 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 equal and the lengths of their corresponding sides are proportional.

Front

If two figures are similar, how do you find the missing side length?

Back

To find the missing side length in similar figures, set up a proportion using the lengths of the corresponding sides.

Front

What is a scale factor in similar figures?

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, and is similar to another triangle with a side of length 12, what is the length of the corresponding side?

Back

The corresponding side length is 16.

Front

In similar polygons, what is true about corresponding angles?

Back

In similar polygons, corresponding angles are congruent.

Front

In similar polygons, what is true about corresponding sides?

Back

In similar polygons, corresponding sides are proportional.

Front

If a statue that is 12 ft tall casts a shadow of 15 ft, how long is the shadow of a 8 ft tall box?

Back

The shadow of the 8 ft tall box is 10 ft.

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.

Front

Fill in the blanks: In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent.