Similar Figures and Triangles

Front

What is the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is constant and is known as the scale factor.

Front

How do you calculate the perimeter of similar figures?

Back

To calculate the perimeter of similar figures, use the scale factor to multiply the perimeter of the smaller figure.

Front

If a flag stick is 6 1/2 feet tall and casts a 9 3/4 foot shadow, how can you find the height of a golfer casting an 8 3/4 foot shadow?

Back

Use the proportion of the heights to the lengths of the shadows to find the height of the golfer.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape, resulting in similar figures.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

Front

How do you determine if two cylinders are similar?

Back

Two cylinders are similar if their corresponding dimensions (heights and radii) are in proportion.

Front

What is the scale factor in similar triangles?

Back

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

Front

How can you find the height of an object using shadows?

Back

You can set up a proportion using the heights and shadow lengths of two objects to find the unknown height.

Front

What is the relationship between the areas of similar figures?

Back

The ratio of the areas of similar figures is equal to the square of the scale factor.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.