Similarity 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

How do you set up a proportion to find the height of an object using shadows?

Back

To set up a proportion, use the ratio of the height of the object to the length of its shadow, and set it equal to the ratio of the height of the other object to the length of its shadow.

Front

What does SSS stand for in the context of triangle similarity?

Back

SSS stands for Side-Side-Side, which means that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the scale factor in a scale drawing?

Back

The scale factor is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a flagpole's scale drawing measures 12 inches and the scale is 1 in. = 4 ft, how tall is the actual flagpole?

Back

The actual flagpole is 48 feet tall.

Front

What is the relationship between the corresponding sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA criterion: Angle-Angle).

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height of object = (Height of shadow) * (Length of shadow of object) / (Length of shadow of other object).

Front

What is the importance of drawing a diagram when solving application-based questions involving similar figures?

Back

Drawing a diagram helps visualize the problem, making it easier to set up proportions and understand the relationships between the figures.

Front

What is the definition of proportional sides in similar triangles?

Back

Proportional sides in similar triangles mean that the ratios of the lengths of corresponding sides are equal.