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 their corresponding sides are in proportion.

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, how do you find a missing side length?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, and a similar triangle has a side of 6 cm, what is the length of the other sides?

Back

The other sides will be 8 cm and 10 cm, maintaining the same ratio (2:3).

Front

How do you determine if two figures are similar?

Back

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

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k².

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 4:9, since (2/3)² = 4/9.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If a triangle has sides measuring 5 cm, 12 cm, and 13 cm, and a similar triangle has a side measuring 10 cm, what is the length of the other sides?

Back

The other sides will be 24 cm and 26 cm, maintaining the same ratio (5:10 = 12:24 = 13:26).