Triangle Similarities

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are proportional.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what is the relationship between the sides AB and DE?

Back

The ratio of the lengths of sides AB and DE is equal to the ratio of the lengths of the other corresponding sides.

Front

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

Back

If an angle of one triangle is equal to an 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

How do you find the missing side of a triangle using proportions?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles and solve for the missing side.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 10 and side PQ is 5, what is the ratio of similarity?

Back

The ratio of similarity is 10:5 or 2:1.

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

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

Back

The lengths of the sides of triangle DEF are 6, 8, and 10.

Front

What is the relationship between the perimeters of similar triangles?

Back

The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides.