Angles in 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 it mean for sides to be proportional in similar triangles?

Back

The lengths of corresponding sides of similar triangles maintain a constant ratio.

Front

If triangle ABC is similar to triangle DEF, what can we say about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

How can you determine if two triangles are similar?

Back

By checking if their corresponding angles are equal or if their sides are in proportion.

Front

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

Back

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

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the sides of one triangle are in proportion 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 those angles are in proportion, the triangles are similar.

Front

If the sides of triangle ABC are 3, 4, and 5, and the sides of triangle DEF are 6, 8, and 10, are the triangles similar?

Back

Yes, because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 5 cm and side DE is 10 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.