8.1 & 8.4 Review (HN Geo - Similarity)

Front

What is the definition of 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 proportional.

Front

When figures are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

When figures are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are proportional.

Front

If two triangles are similar, and the lengths of the sides of the first triangle are 3, 4, and 5, what are the lengths of the sides of the second triangle if the scale factor is 2?

Back

The lengths of the sides of the second triangle are 6, 8, and 10.

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.

Front

If the perimeter of a larger similar figure is 24 cm, and the scale factor to a smaller similar figure is 1:2, what is the perimeter of the smaller figure?

Back

The perimeter of the smaller figure is 12 cm.

Front

How do you find the missing length in similar figures?

Back

Use the proportionality of corresponding sides to set up a proportion and solve for the missing length.

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

If two similar rectangles have a scale factor of 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

Front

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

Back

The perimeter of similar figures can be found by multiplying the perimeter of one figure by the scale factor.