Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

If two triangles have one pair of congruent angles, are they similar?

Back

No, they need to have all corresponding angles congruent or two pairs of corresponding angles congruent.

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

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

Back

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

Front

How do you determine if triangles are similar using side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F.

Front

Can two triangles be similar if they have different side lengths?

Back

Yes, as long as their corresponding angles are equal.

Front

What is the importance of the concept of similarity in geometry?

Back

It allows us to understand and solve problems involving shapes that are proportional and maintain the same angles.