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 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, 4, and 5, 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

The sides of triangle DEF are 6, 8, and 10.

Front

What does it mean for sides in similar figures to be proportional?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

Are the triangles with sides 6, 8, and 10 similar to triangles with sides 3, 4, and 5?

Back

Yes, they are similar because the sides are in proportion (6:3 = 2, 8:4 = 2, 10:5 = 2).

Front

If two triangles are similar, what can be said about their areas?

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 4 and side DE is 8, what is the scale factor?

Back

The scale factor is 2 (8/4 = 2).