Similar Figures 2

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

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

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

Back

The lengths of the corresponding sides of similar triangles are in proportion to each other.

Front

How do you find the height of an object using similar triangles?

Back

You can use the properties of similar triangles to set up a proportion between the height of the object and the distance from the object, using a reference point.

Front

If a triangle has sides measuring 5 cm, 12 cm, and 13 cm, what is the scale factor if a similar triangle has a side measuring 10 cm?

Back

The scale factor is 2, since 10 cm is twice the length of the corresponding side (5 cm) in the original triangle.

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 figures is 3:2, what is the ratio of their areas?

Back

The ratio of their areas is 9:4, since (3^2):(2^2) = 9:4.

Front

How do you solve for a missing side in similar figures?

Back

Set up a proportion using the lengths of the corresponding sides of the similar figures and solve for the missing side.

Front

If one triangle has sides of 6 cm, 8 cm, and 10 cm, and a similar triangle has a side of 12 cm, what is the length of the corresponding side?

Back

The corresponding side is 16 cm, using the scale factor of 2.