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 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 we say 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 it 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

How do you find the length of a side in similar triangles?

Back

Use the proportion of the corresponding sides. If Triangle ABC is similar to Triangle DEF, then (AB/DE) = (BC/EF) = (AC/DF).

Front

If Triangle ABC has sides of lengths 6, 8, and 10, and Triangle XYZ has a side of length 12, are they similar?

Back

Yes, because the sides are in proportion (6:12 = 1:2).

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 and side DE is 10, what is the scale factor?

Back

The scale factor is 2 (10/5).