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 the lengths of their corresponding sides are proportional.

Front

What is the property of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

If two triangles are similar, how do you find the length of a missing side?

Back

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

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

The sides of triangle B are 6, 8, and 10.

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

Back

The scale factor is 9/6 or 3/2.

Front

How do you determine which angles correspond in similar triangles?

Back

Corresponding angles in similar triangles are determined by their position in the triangles; they are in the same relative position.

Front

What is the formula for finding the area of a triangle?

Back

Front

If two parallelograms are similar, how do you find the length of a side?

Back

Use the scale factor to multiply the length of the corresponding side from the smaller parallelogram.