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 figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the property of corresponding sides in similar figures?

Back

In similar figures, the lengths of corresponding sides are proportional.

Front

If two triangles are similar, how can you find the length of a side in one triangle if you know the length of the corresponding side in the other triangle?

Back

You can use the ratio of the lengths of the corresponding sides to set up a proportion and solve for the unknown length.

Front

What is a scale factor in the context of similar figures?

Back

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

Front

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

Back

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

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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 scale factor of two similar triangles is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 2^2:3^2, which is 4:9.

Front

What is the formula to find the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.