Similar Figures & Proportions Giraldi

Front

What are similar figures?

Back

Two figures that have the same shape but may differ in size.

Front

What is the property of proportional sides in similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

How do you determine the height of an object using similar triangles?

Back

By setting up a proportion between the heights and distances of the objects and their corresponding triangles.

Front

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

Back

All corresponding angles are equal.

Front

What is the scale factor in similar figures?

Back

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

Front

If a rectangular garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio is 45:70 or 9:14.

Front

What is the formula for finding the area of similar figures?

Back

The area ratio is the square of the scale factor.

Front

If the scale factor of two similar triangles is 3:5, what is the ratio of their areas?

Back

The area ratio is 9:25.

Front

What does it mean for two triangles to be congruent?

Back

They are the same shape and size, with all corresponding sides and angles equal.

Front

How can you use a mirror to find the height of a tree?

Back

By creating similar triangles with the mirror and your line of sight.