12-2 G: Similar Triangles Reteach (Unit 4B)

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 in proportion.

Front

What is the criteria for triangle similarity?

Back

The criteria include Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS) similarity.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be said about the triangles?

Back

The triangles are similar (AA criterion).

Front

What is a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

If ΔABC ∼ ΔDEF and the scale factor is 2:3, what does this mean?

Back

The lengths of the sides of triangle ABC are 2/3 the lengths of the corresponding sides of triangle DEF.

Front

How do you determine if two triangles are not similar?

Back

If their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

What is the relationship between the perimeters of similar triangles?

Back

The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides.

Front

If the sides of triangle XYZ are 4, 6, and 8, and triangle ABC is similar to it with a scale factor of 3, what are the lengths of the sides of triangle ABC?

Back

The sides of triangle ABC are 6, 9, and 12.

Front

What does the notation ΔMNL ∼ ΔOPQ signify?

Back

It signifies that triangle MNL is similar to triangle OPQ.

Front

If segment DE is not parallel to segment AC, what can be inferred about the triangles formed?

Back

The triangles may not be similar, as parallel sides are often a condition for similarity.