Scale Factors and Area Relationships

Mrs. Groovy Groves guides students through lesson nine, focusing on scale and ratio problems. The lesson begins with a problem about a book image on a website, requiring the creation of a ratio table to determine the scale. The lesson progresses to creating a scale drawing of the Colombian flag, using different scales. It then covers understanding scale copies of triangles and calculating area factors. Finally, students learn to identify scale copies among quadrilaterals and create a scaled version of a rectangle.

If an image of a book is 1.5 inches wide on a website and the actual book is 9 inches wide, what is the scale used for the image?

• 1:9

• 1:6

• 1:3

• 1:12

How tall is the actual book if it appears 3 inches tall on the website with a scale of 1:6?

• 18 inches

• 15 inches

• 21 inches

• 12 inches

What is the scaled height of the yellow stripe on the Colombian flag if the real height is 2 feet and the scale is 1 cm to 2 feet?

• 1.5 cm

• 1 cm

• 2 cm

• 0.5 cm

Using a scale of 2 cm to 1 foot, what is the scaled length of the Colombian flag if the actual length is 6 feet?

• 8 cm

• 10 cm

• 6 cm

• 12 cm

If the scale factor between two triangles is 2, how many times larger is the area of the second triangle compared to the first?

• 4 times

• 3 times

• 5 times

• 2 times

What is the area factor if the scale factor between two triangles is 1/2?

• 1/2

• 1/16

• 1/4

• 1/8

Which of the following quadrilaterals is a scale copy of a rectangle with dimensions 2 by 4?

• A quadrilateral with dimensions 2 by 4

• A quadrilateral with dimensions 1 by 2

• A quadrilateral with dimensions 4 by 8

• A quadrilateral with dimensions 3 by 6

If a rectangle is scaled by a factor of 3, what will be the new dimensions if the original dimensions are 2 by 4?

• 6 by 12

• 4 by 8

• 10 by 20

• 8 by 16

What is the scale factor if a quadrilateral with dimensions 2 by 4 is scaled to dimensions 4 by 8?

• 4

• 2

• 1

• 3

If a rectangle is scaled down by a factor of 1/2, what will be the new dimensions if the original dimensions are 4 by 8?

• 5 by 10

• 2 by 4

• 3 by 6

• 4 by 8