Similar Triangles 12/12

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 in proportion.

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 Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

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 does it mean for angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Front

If triangle ABC is similar to triangle DEF, how is this written?

Back

ΔABC ~ ΔDEF

Front

How do you determine if two triangles are similar using the AA criterion?

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If the sides of triangle XYZ are 3, 4, and 5, and the sides of triangle ABC are 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is a similarity statement?

Back

A statement that indicates which triangles are similar, showing the correspondence of their vertices.