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 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, then the triangles are similar.

Front

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

Back

If the corresponding sides of two triangles are in proportion, then 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 these angles are in proportion, then the triangles are similar.

Front

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

Back

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

Front

If the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

6 cm, 8 cm, and 10 cm.

Front

Are the triangles with sides 5 cm, 12 cm, and 13 cm similar to triangles with sides 10 cm, 24 cm, and 26 cm?

Back

Yes, they are similar because the sides are in proportion (1:2).

Front

What does it mean for angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

If two triangles are similar, how do their areas compare?

Back

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

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 6 cm and side PQ is 3 cm, what is the scale factor?

Back

The scale factor is 2 (6 cm / 3 cm).