Similarity Test Review

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

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratios of their lengths are equal. For example, if two triangles have sides of lengths 2, 4, and 6, and 4, 8, and 12, the sides are proportional because 2/4 = 4/8 = 6/12.

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the height of a similar figure if you know the height of a corresponding figure?

Back

To find the height of a similar figure, use the ratio of the corresponding sides. If the ratio of the sides is known, multiply the height of the known figure by that ratio.

Front

What is the formula to find the percentage of a quantity?

Back

Percentage = (Part/Whole) x 100.

Front

If a zoo has 130 exhibits and 30% contain birds, how many exhibits contain birds?

Back

39 exhibits contain birds.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

What is a proportion?

Back

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

Front

If the sides of two similar figures are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their sides, so (3:5)² = 9:25.

Front

What is the height of a tree if it is given as 20 units?

Back

The height of the tree is 20 units.