Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two shapes to be similar?

Back

It means they have the same shape but different sizes.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 4 cm and DE is 8 cm, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 2.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of triangle ABC are in the ratio 3:4:5, what would be the sides of a similar triangle with a scale factor of 2?

Back

The sides would be 6:8:10.

Front

What is the corresponding side to AB in triangle DEF if DE corresponds to AB?

Back

DE corresponds to AB.

Front

True or False: The sides of similar triangles must be proportional.

Back

True.

Front

If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ is 10 cm, what is the scale factor from triangle XYZ to triangle PQR?

Back

The scale factor is 2.

Front

What is the corresponding side to line EF in triangle ABC if BC corresponds to EF?

Back

BC corresponds to EF.