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 sum of the angles in a triangle?

Back

180 Degrees.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, are the triangles similar?

Back

Yes, they are similar by the Angle-Angle (AA) similarity criterion.

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, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

Are two triangles with the same angles always similar?

Back

Yes, triangles with the same angles are always 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

If triangle XYZ has sides of lengths 4 cm, 6 cm, and 8 cm, and triangle PQR has sides of lengths 2 cm, 3 cm, and 4 cm, are they similar?

Back

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

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size.

Front

If triangle ABC is similar to triangle DEF and the length of side AC is 10 cm, what can you say about side DF?

Back

Side DF will be in proportion to side AC based on the ratio of the corresponding sides.