Students will be able to:
Use a scale drawing as a representation of actual lengths and area.
Scale drawings can be used to calculate actual measures and reproduce proportional scale drawings.
SCALE FACTOR AND SCALE DRAWINGS
The scale factor of a scale drawing is the ratio of an actual length, y, to
the corresponding length, x, in the drawing. The ratio is the constant of
proportionality, k, that relates the actual figure to the scale drawing. You
can use a proportion or use an equation of the form y = kx to solve problems
involving scale drawings.
DIAGRAM: TRIANGULAR SCALE DRAWING
A right triangle is shown with a horizontal base of 4.5 in. and a vertical
height of 3 in.
Scale: 1 in. = 2 yd.
Scale relationship shown in the image:
2 yd / 1 in. = y / x
y = 2x
Here x represents a drawing length measured in inches and y represents
its corresponding actual length measured in yards.