Similar Figures - Solving for missing sides

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean to solve for a missing side in similar figures?

Back

To solve for a missing side in similar figures means to find the length of a side using the proportional relationships between the sides of the similar figures.

Front

If two triangles are similar, how do you find the length of a missing side?

Back

You can find the length of a missing side by setting up a proportion between the lengths of the corresponding sides of the triangles.

Front

What is the formula for finding the height of an object using similar triangles?

Back

The height of an object can be found using the formula: (height of object 1 / shadow of object 1) = (height of object 2 / shadow of object 2).

Front

If triangle ABC is similar to triangle FGH, and the sides of triangle ABC are 4 cm, 6 cm, and 8 cm, what are the corresponding sides of triangle FGH if the shortest side is 6 cm?

Back

The corresponding sides of triangle FGH would be 6 cm, 9 cm, and 12 cm, maintaining the same ratio.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much larger or smaller one figure is compared to the other.

Front

How do you determine the scale factor between two similar triangles?

Back

To determine the scale factor, divide the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If a small triangle has sides of 3 cm, 4 cm, and 5 cm, and a similar triangle has a side of 6 cm, what is the length of the other sides?

Back

The other sides would be 8 cm and 10 cm, maintaining the same ratio of 2:1.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If Marvin's son is 3 ft tall and casts a shadow of 1 ft, and Marvin casts a shadow of 2.5 ft, how do you find Marvin's height?

Back

Set up the proportion: (Marvin's height / 2.5 ft) = (3 ft / 1 ft). Solving gives Marvin's height as 7.5 ft.