Similar Figures and Proportions

Front

What is the relationship between similar figures and their corresponding side lengths?

Back

The corresponding side lengths of similar figures are proportional.

Front

How do you convert meters to inches?

Back

To convert meters to inches, multiply the number of meters by 39.37.

Front

What is a proportion in mathematics?

Back

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

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Height of object 1 / Distance from object 1) * Distance from object 2.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but different sizes.

Front

How can you find a missing side length in similar figures?

Back

You can find a missing side length by setting up a proportion using the known side lengths.

Front

What is the significance of the scale factor in similar figures?

Back

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

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply and then isolate the variable to solve for it.

Front

What is the height of a tree if a shadow of 10 ft corresponds to a 15 ft tall person casting a 6 ft shadow?

Back

The height of the tree can be found using the proportion: (Height of person / Shadow of person) = (Height of tree / Shadow of tree). The height of the tree is 15 ft.