Scale Drawings and Proportionality

Mr. Wooly introduces scale drawings, focusing on reductions and enlargements. He explains how to identify corresponding points on scale drawings and discusses the concept of proportionality. Examples include subway maps, fingerprints, and triangles, illustrating how to determine if a drawing is a reduction or enlargement. The video concludes with a discussion on constant proportionality and its role in identifying scale drawings.

What is a reduction in the context of scale drawings?

• A distorted version of the original

• A larger version of the original

• A smaller version of the original

• An identical version of the original

How can you tell if a drawing is an enlargement?

• The drawing is distorted

• The drawing is the same size as the original

• The drawing is smaller than the original

• The drawing is larger than the original

What happens to a number line when it undergoes a reduction?

• It becomes shorter

• It becomes longer

• It becomes distorted

• It remains the same

How do you find corresponding points in scale drawings?

• By matching sizes

• By matching positions

• By matching shapes

• By matching colors

What is the constant proportionality if a building's height is reduced from 18 to 9?

• 1

• 0.5

• 2

• 0.25

What does a constant proportionality of 0.5 indicate?

• The new dimensions are the same as the original

• The new dimensions are half the original

• The new dimensions are twice the original

• The new dimensions are distorted

What is the height of the second triangle if the first triangle's height is 5 and the second is an enlargement?

• 10

• 25

• 20

• 15

If a triangle's width increases from 3 to 10, what is the enlargement factor?

• 3

• 3.33

• 4

• 2

Why is a triangle with different enlargement factors for height and width not a scale drawing?

• Because it is smaller

• Because it grows at different rates

• Because it is distorted

• Because it is identical

What must be true for a drawing to be considered a scale drawing?

• All dimensions must grow or shrink at the same rate

• All dimensions must remain the same

• All dimensions must be larger

• All dimensions must be distorted