Understanding Ratios in Similar Triangles

The video tutorial explains the concept of similar triangles and how to determine the ratios of their corresponding sides, perimeters, and areas. It demonstrates simplifying these ratios and highlights that the ratio of the areas is the square of the ratio of the sides or perimeters. This principle applies to all similar polygons, not just triangles.

What is the relationship between the sides of two similar triangles?

• They are equal in length.

• They are in proportion.

• They are perpendicular.

• They are parallel.

How do you simplify the ratio of 4 cm to 6 cm?

• 1 to 2

• 2 to 3

• 3 to 4

• 4 to 5

What is the greatest common factor used to simplify the ratio of 6 cm to 9 cm?

• 5

• 4

• 3

• 2

What is the simplified ratio of the perimeters of the small and large triangles?

• 1 to 2

• 3 to 4

• 4 to 5

• 2 to 3

How is the area of a triangle calculated?

• Base times height

• 1/2 base times height

• Base plus height

• Base minus height

What is the ratio of the areas of the small and large triangles?

• 3 to 4

• 2 to 3

• 5 to 6

• 4 to 9

If the ratio of the sides of two similar polygons is a to b, what is the ratio of their perimeters?

• a squared to b squared

• a to b

• b to a

• a cubed to b cubed

What is the relationship between the ratio of the sides and the ratio of the areas of similar polygons?

• The ratio of the areas is the same as the ratio of the sides.

• The ratio of the areas is the cube of the ratio of the sides.

• The ratio of the areas is the square of the ratio of the sides.

• The ratio of the areas is half the ratio of the sides.

What is the simplified ratio of the areas of the small and large triangles?

• 2 to 3

• 3 to 4

• 4 to 9

• 5 to 6

What is true for all similar polygons regarding the ratio of their areas?

• The ratio of the areas is half the ratio of the sides.

• The ratio of the areas is the square of the ratio of the sides.

• The ratio of the areas is the same as the ratio of the sides.

• The ratio of the areas is the cube of the ratio of the sides.