Similarity

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

Which statement is NOT true about similar figures?

Back

Similar figures always have the same size.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are always equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

Corresponding sides in similar figures are proportional.

Front

If a line divides two sides of a triangle in the same ratio, what can be said about that line?

Back

The line is parallel to the third side of the triangle.

Front

How do you find the width of a gymnasium on a blueprint if the actual dimensions are known?

Back

Use the scale factor derived from the actual dimensions and the blueprint dimensions to calculate the width.

Front

What is the scale factor if a gymnasium is 96 feet long and 5.5 inches on the blueprint?

Back

The scale factor is 96 feet to 5.5 inches.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale Factor = Length of a side of the smaller figure / Length of the corresponding side of the larger figure.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of corresponding sides of triangle ABC and triangle DEF are in proportion.