Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

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

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

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

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the definition of proportional sides in similar triangles?

Back

The lengths of corresponding sides of similar triangles are in the same ratio.

Front

What is the definition of congruent angles in similar triangles?

Back

The angles that are equal in measure in similar triangles.

Front

If triangle ABC is similar to triangle DEF, what can we say about their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If AB/DE = 2/3, what can we infer about the lengths of AB and DE?

Back

AB is 2/3 the length of DE, meaning DE is longer than AB.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.

Front

If the sides of triangle XYZ are 4, 6, and 8, and triangle PQR is similar to triangle XYZ with a scale factor of 2, what are the lengths of the sides of triangle PQR?

Back

The sides of triangle PQR are 8, 12, and 16.

Front

What is the definition of a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar figures.