Scale Drawings. Scale Drawing: a reduced or enlarged two- dimensional drawing of an original two- dimensional drawing.

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Presentation transcript:

Scale Drawings

Scale Drawing: a reduced or enlarged two- dimensional drawing of an original two- dimensional drawing.

For the following problems, (a) is the actual picture and (b) is the scale drawing. Is the scale drawing an enlargement or a reduction of the actual picture? EnlargementReduction

HeightLength Original Drawing Second Drawing Celeste drew an outline of a building for a diagram she was making and then drew a second one mimicking her original drawing. Fill out the table and determine if the second image is a scale drawing of the original image. Original Second Drawing 18 units 6 units 9 units 3 units

a. If the original lengths are multiplied by 2, what are the new coordinates? b.Use the table to the right to organize the lengths. c. Is the new picture a reduction or an enlargement? d. What is the constant of proportionality? LengthHeight Actual Picture Lengths (in units) New Picture Lengths (in units) Try this one! (0,0), (12,18), (12,0) 6 units 9 units 12 units18 units Enlargement 2

Use a Scale Factor of 3 to create new dimensions to make a scale drawing of the Flag of Columbia below.

Hint: Making a ratio table will help scale equivalent scale ratio surfboard Scale Drawing Length, x Actual Length, y?

Area Scale factor from first object to second: _________ Actual Area = ______________ Scale Drawing Area = ________________ Ratio of Scale Drawing Area to Actual Area: _________ 54 square units 6 square units

Finding the Scale A museum is creating a full-size Tyrannosaurus Rex for a model. The model is 40 inches in length, from the nose to the tail. The resulting dinosaur will be 40 feet in length. What is the model’s scale? Solution Write a ratio with the model on top and the full size on bottom. Make sure that both measures are in inches. Then simplify the fraction. == scale model full size

Practice: Scale Drawing Day 1 worksheet