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 proportional.

Front

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

Back

Their corresponding angles are congruent.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the scale factor from the smaller triangle to the larger triangle?

Back

The scale factor is 3/2 or 1.5.

Front

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

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the missing length.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

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 scale factor?

Back

The scale factor is 6/4 or 1.5.

Front

What is the definition of scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 cm and side PQ is 10 cm, what is the missing length of side YZ if side QR is 15 cm?

Back

The missing length of side YZ is 7.5 cm.

Front

What does it mean for sides of similar triangles to be proportional?

Back

The lengths of corresponding sides of similar triangles maintain a constant ratio.

Front

If two triangles are similar and one triangle has a perimeter of 24 cm, what can be said about the perimeter of the other triangle?

Back

The perimeter of the other triangle will be proportional to the scale factor.