Similar Triangles 1-6-25

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the similarity criterion for triangles?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What does it mean for triangles to be similar?

Back

It means that the triangles have the same shape, which implies that their angles are equal and their sides are in proportion.

Front

Which statement is NOT true about similar figures?

Back

Similar figures always have the same size.

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can we say about the sides?

Back

The lengths of the sides of triangle ABC are proportional to the lengths of the sides of triangle DEF.

Front

How do you determine if two triangles are similar?

Back

You can determine if two triangles are similar by checking if their corresponding angles are equal or if the sides are in proportion.

Front

What is the ratio of the sides of similar triangles?

Back

The ratio of the lengths of corresponding sides of similar triangles is constant.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 4 cm and side PQ is 2 cm, what is the ratio of their sides?

Back

The ratio of their sides is 4:2 or 2:1.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles being equal ensures that the triangles maintain the same shape.