Similar Figures

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 the lengths of their corresponding sides are proportional.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, in two similar triangles, the side lengths that correspond to each other are proportional.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional (AA criterion or SSS criterion).

Front

What is the relationship between the heights of similar figures?

Back

The heights of similar figures are proportional to the lengths of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding dimensions (lengths, areas, etc.) are equal.

Front

How do you find the height of a tree using similar figures?

Back

You can use the concept of similar triangles. By measuring a shadow and using a known height of an object casting a shadow, you can set up a proportion to find the height of the tree.

Front

What is the significance of the statement 'AC ∼ DF'?

Back

The statement 'AC ∼ DF' indicates that triangle ABC is similar to triangle DEF, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the importance of proportionality in similar figures?

Back

Proportionality allows us to solve for unknown lengths in similar figures, as the ratios of corresponding sides remain constant.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.