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

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

Back

All corresponding angles are congruent.

Front

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

Back

The lengths of corresponding sides are proportional.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

Are two triangles with the same angles always similar?

Back

Yes, if two triangles have the same angles, they are similar.

Front

What is the criterion for triangle similarity based on angles?

Back

Angle-Angle (AA) Criterion: If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the criterion for triangle similarity based on sides?

Back

Side-Side-Side (SSS) Criterion: If the sides of one triangle are proportional to the sides of another triangle, 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, the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

If two triangles are similar and the length of one side of the first triangle is 5 cm, and the corresponding side of the second triangle is 10 cm, what is the scale factor?

Back

The scale factor is 2.