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 does AA similarity criterion stand for?

Back

Angle-Angle similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

Side-Side-Side similarity criterion states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

Side-Angle-Side similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

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

Back

The corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.

Front

What is the measure of angle a if two angles are 50° and 80°?

Back

Angle a is 80°.

Front

If triangle ABC is similar to triangle DEF, and AB = 10 cm, DE = 15 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 10:15 or 2:3.

Front

What is the scale factor if triangle XYZ is similar to triangle PQR and the lengths of corresponding sides are 8 cm and 12 cm respectively?

Back

The scale factor is 8:12 or 2:3.