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

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

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar triangles are in the ratio 2:3, what does this mean?

Back

It means that for every 2 units of length in one triangle, there are 3 units of length in the other triangle.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 4:6, which simplifies to 2:3.

Front

How do you find the missing side length in similar triangles?

Back

Use the property of proportions: set up a ratio of the lengths of corresponding sides and solve for the missing length.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 8 cm and side PQ is 12 cm, what is the length of side YZ if side QR is 18 cm?

Back

Side YZ is 12 cm.

Front

What is the scale factor in similar triangles?

Back

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

Front

If the scale factor of two similar triangles is 1:4, what does this imply about their areas?

Back

The area of the larger triangle is 16 times greater than the area of the smaller triangle.

Front

What is the relationship between the perimeters of similar triangles?

Back

The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding side lengths.