Similar Figures Practice

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 corresponding sides are proportional.

Front

What is the concept of proportionality in similar figures?

Back

Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal. If two figures are similar, then the ratio of any two corresponding sides is the same.

Front

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

Back

If two triangles are similar, then their corresponding angles are equal.

Front

How do you find the height of an object using shadows?

Back

To find the height of an object using shadows, set up a proportion between the height of the object and the length of its shadow compared to another object with a known height and shadow length.

Front

Lance the alien is 5 feet tall. His shadow is 8 feet long. A tree's shadow is 32 feet long. How tall is the tree?

Back

20 feet

Front

What is the formula for finding the height of similar figures using shadows?

Back

Height of Object 1 / Length of Shadow 1 = Height of Object 2 / Length of Shadow 2.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10.

Front

What is a scale factor in similar figures?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

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.