Proving Triangle Similarity

Front

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

Back

Their angles are congruent.

Front

What does SAS stand for in the context of triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for proving triangle similarity.

Front

What does AA stand for in the context of triangle similarity?

Back

AA stands for Angle-Angle, a criterion for proving triangle similarity.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

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

Back

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

Front

What is the significance of triangle similarity in geometry?

Back

Triangle similarity allows for the comparison of shapes and the use of proportional reasoning.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

If two triangles are not similar, what can be inferred about their angles?

Back

At least one pair of corresponding angles is not congruent.

Front

What is the criteria for triangle similarity using the SSS method?

Back

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

Front

How can you prove that two triangles are similar using the AA criterion?

Back

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