Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles have the same shape but different sizes, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

If the sides of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, so (3:5)² = 9:25.

Front

How do you solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles and solve for the missing side.

Front

What is the relationship between the lengths of corresponding 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 4 cm and side DE is 8 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 4:8, which simplifies to 1:2.

Front

What does it mean for two shapes to be similar?

Back

It means they have the same shape but different sizes.

Front

In similar triangles, if one angle measures 30 degrees, what will the corresponding angle in the other triangle measure?

Back

It will also measure 30 degrees.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 6 cm and side PQ is 12 cm, what is the scale factor from triangle XYZ to triangle PQR?

Back

The scale factor is 2:1.

Front

What is the significance of the AA criterion in determining similarity of triangles?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.