Understanding Scale Drawings and Proportionality

The video tutorial covers the concept of scale drawings, focusing on enlargements and reductions. It provides examples, such as Derek's map and Celeste's building, to illustrate the application of scale drawings and the constant of proportionality. Luca's triangle example highlights the importance of a scale factor. The lesson concludes with instructions for homework.

What is the primary difference between an enlargement and a reduction in scale drawings?

• Enlargement and reduction both make the drawing bigger.

• Enlargement makes the drawing bigger, reduction makes it smaller.

• Enlargement maintains the same size, reduction changes the size.

• Enlargement makes the drawing smaller, reduction makes it bigger.

In Derek's map example, why did point V not correspond with point R?

• The map was not drawn to scale.

• The map was missing some points.

• The map was upside down.

• The map was too small.

What is the significance of corresponding points in scale drawings?

• They only apply to enlargements.

• They are not important in scale drawings.

• They help in identifying the orientation of the drawing.

• They indicate the drawing is not to scale.

What does a constant of proportionality indicate in scale drawings?

• The drawing is not to scale.

• The drawing is an exact replica.

• The drawing maintains the same ratio between dimensions.

• The drawing has different dimensions.

How do you calculate the constant of proportionality in a scale drawing?

• Divide the y-value by the x-value.

• Subtract the x-value from the y-value.

• Multiply the x-value by the y-value.

• Divide the x-value by the y-value.

In Celeste's example, what was the constant of proportionality for both drawings?

• 2

• 3

• 1.5

• 4

Why does Luca's enlarged mosaic not qualify as a scale drawing of the original?

• It has a constant of proportionality.

• It is too small.

• It does not have a constant of proportionality.

• It is too large.

What is the constant of proportionality for Luca's original triangle?

• 3

• 1 and 2/3

• 1 and 1/2

• 2

What is the constant of proportionality for Luca's enlarged triangle?

• 3

• 2

• 1 and 1/2

• 1 and 2/3

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

• It must have a constant of proportionality.

• It must be larger than the original.

• It must be smaller than the original.

• It must be the same size as the original.