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 Angle-Angle (AA) criterion for similarity?

Back

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

Front

What does it mean for corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If triangle A is similar to triangle B, what can we say about their angles?

Back

All corresponding angles of triangle A and triangle B are congruent.

Front

How do you determine if two triangles are similar using side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, 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 proportional, then the triangles are similar.

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

30°, 60°, and 90° (the angles remain the same in similar triangles).

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 side lengths.

Front

If triangle A has a side length of 4 cm and triangle B is similar to triangle A with a side length of 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 4:8 or 1:2.