Triangle proportionality theorem

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

If two triangles are similar, the ratios of their corresponding sides are _______.

Back

Equal

Front

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides into _______.

Back

Proportional segments

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 their corresponding sides?

Back

1:2

Front

If two triangles have a ratio of 3:5 for their corresponding sides, what is the ratio of their areas?

Back

9:25

Front

In similar triangles, the ratio of the perimeters is equal to the ratio of the _______.

Back

Corresponding sides

Front

If a triangle has sides of lengths 6 cm, 8 cm, and 10 cm, and another triangle is similar with a longest side of 15 cm, what is the length of the shortest side?

Back

9 cm

Front

If two triangles are similar and the length of one side of the first triangle is 12 cm, and the corresponding side of the second triangle is 18 cm, what is the scale factor?

Back

3:2

Front

If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, and another triangle is similar with a shortest side of 10 cm, what is the length of the longest side?

Back

30 cm

Front

If the sides of triangle XYZ are in the ratio 2:3:4 and the perimeter is 90 cm, what is the length of the longest side?

Back

40 cm