similar triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are congruent, and the lengths of their corresponding sides are proportional.

Front

What must be true about the angles of two similar triangles?

Back

The corresponding angles of two similar triangles must be congruent.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

If Triangle ABC is similar to Triangle DEF, what can be said about angle A and angle D?

Back

Angle A is congruent to angle D.

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of similar triangles that are in the same relative position.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if their corresponding angles are congruent or if the lengths of their corresponding sides are proportional.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The Angle-Angle (AA) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The Side-Angle-Side (SAS) similarity criterion states that if one angle of a triangle is congruent 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

The Side-Side-Side (SSS) similarity criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If two triangles are similar and the length of one side of the first triangle is 4 cm and the corresponding side of the second triangle is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.