3.4 - Angles in Similar Triangles

Front

What is the definition of similar triangles?

Back

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

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 does it mean for triangles to be similar by side-angle-side (SAS) similarity?

Back

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 Side-Side-Side (SSS) similarity criterion?

Back

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

Front

How can you determine if two triangles are similar?

Back

Check if their corresponding angles are equal or if the ratios of their corresponding sides are equal.

Front

What is the relationship between corresponding angles in similar triangles?

Back

All pairs of corresponding angles in similar triangles are congruent.

Front

What is the relationship between corresponding sides in similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

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

Can two triangles be similar if only one pair of angles is equal?

Back

No, at least two pairs of angles must be equal for the triangles to be similar.

Front

What is an example of two similar triangles?

Back

Triangle ABC with angles 30°, 60°, 90° and triangle DEF with angles 30°, 60°, 90° are similar.