Scale Factors and Proportions in Geometry

The video tutorial covers creating scale drawings, starting with an introduction to the concept. It includes practical examples such as drawing a scale version of Noah's bedroom and the state of Utah. The tutorial also provides homework problems to reinforce the learning, emphasizing the importance of using scale factors and understanding measurements.

What happens to a number when it is divided by a larger number?

• It remains the same.

• It becomes smaller.

• It doubles.

• It becomes larger.

If Noah's wall C is 4 meters in reality and 16 cm in the drawing, what is the scale factor?

• 1:4

• 4:1

• 16:1

• 1:16

How long will wall D be on Noah's scale floor if it is 3.75 meters in reality?

• 15 cm

• 30 cm

• 10 cm

• 20 cm

What is the scale factor used for the Utah drawing if 1 cm represents 50 miles?

• 1:50

• 50:1

• 1:100

• 100:1

If a book is 1.5 inches wide in a picture and 9 inches wide in reality, what is the scale factor?

• 1:6

• 6:1

• 9:1

• 1:9

What is the scale factor for the Colombian flag if 1 cm represents 2 feet?

• 4:1

• 1:4

• 2:1

• 1:2

How many times larger is the area of triangle F compared to triangle G if F is 24 and G is 6?

• 5 times

• 4 times

• 3 times

• 2 times

Which quadrilateral is a scaled copy of the original if the original has a height of 2 and a width of 4?

• Quadrilateral F

• Quadrilateral G

• Quadrilateral C

• Quadrilateral A

What is the scale factor for quadrilateral D if it is half the size of the original?

• 1:2

• 1:3

• 1:1

• 2:1

If a rectangle is scaled by a factor of 3, what happens to its dimensions?

• They halve.

• They double.

• They triple.

• They remain the same.