Scale Drawings and Ratios

The video tutorial covers practice problems from lesson nine, focusing on scale and geometry. It begins with calculating the scale of a book image, followed by creating scale drawings of the Colombian flag. The tutorial then compares the areas of scaled triangles and concludes with identifying scaled rectangles. The instructor provides step-by-step guidance and emphasizes the importance of understanding scale factors and their impact on area calculations.

What is the scale factor used when an image of a book is 1.5 inches wide, and the actual book is 9 inches wide?

• 1:12

• 1:9

• 1:6

• 1:3

If the actual height of a book is 18 inches, what was the height of the image if the scale factor is 1:6?

• 3 inches

• 6 inches

• 9 inches

• 12 inches

How many centimeters wide should a scale drawing of the Colombian flag be if the real flag is 6 feet wide and the scale is 1 cm = 2 feet?

• 2 cm

• 3 cm

• 4 cm

• 5 cm

In a scale drawing where 2 cm represents 1 foot, what is the height in centimeters of a flag that is 4 feet tall?

• 10 cm

• 6 cm

• 4 cm

• 8 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?

• 2 times

• 3 times

• 4 times

• 5 times

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

• 1/2

• 1/4

• 1/8

• 1/16

Which of the following quadrilaterals is a scaled copy of a rectangle with a 2:1 length-to-width ratio?

• A rectangle with sides 4 and 2

• A rectangle with sides 8 and 4

• A rectangle with sides 6 and 3

• A rectangle with sides 5 and 3

If a rectangle has a length of 8 and a width of 4, is it a scaled copy of a rectangle with a 2:1 ratio?

• No

• Only if the angles are the same

• Yes

• Depends on the scale factor

When drawing a scaled rectangle on graph paper, if the length is 10 units, what should the width be to maintain a 2:1 ratio?

• 2 units

• 20 units

• 10 units

• 5 units

If a rectangle's width is 12 units, what should its length be to maintain a 1:2 ratio?

• 24 units

• 6 units

• 12 units

• 18 units