Triangle Similarity

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles 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 does it mean for two triangles to be congruent?

Back

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

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional, meaning the ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What is the importance of the proportionality of sides in similar triangles?

Back

The proportionality of sides in similar triangles allows for the calculation of unknown side lengths using ratios.

Front

How do you find a missing side length in similar triangles?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the definition of corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are the sides that are in the same relative position in each triangle.