Triangle Similarity

Front

What does it mean for triangles ∆ABC and ∆XYZ to be congruent?

Back

It means that the corresponding sides and angles of the triangles are equal, denoted as ∆ABC≅∆XYZ.

Front

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

Back

The corresponding sides are proportional.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

If AB≅XY, what can be inferred about the triangles?

Back

AB is a corresponding side to XY in similar triangles.

Front

How can 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 the other triangle.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their sides are not proportional.

Front

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

Back

Yes, because the sides are proportional (3:6, 4:8, 5:10).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.