Basics of Scale Drawings
Is a scale drawing with a scale factor of 3 an enlargement or a reduction?
What is an Enlargement?
An original figure has a side length of $4.5 inches. What is the corresponding length in a scale drawing with a scale factor of 2.5?
What is 11.25? (4.5 x 2.5)
On an architectural drawing, 1 and 1/16 inches represents 4 and 1/2 feet. How many actual feet does 1 inch represent?
What is 72/17 OR 4 and 6/17 feet?
To find the area of a scale drawing, you multiply the original area by the scale factor times what?
What is the scale factor?
What do we call a drawing that shows an object with its accurate shape, but is proportionally larger or smaller than the original figure?
What is a Scale Drawing?
If scale drawing B is a reduction of drawing A with a scale factor of 5/8, what is the scale factor to go from drawing B back to drawing A?
What is 8/5
Write an equation relating the side length of a scale drawing(y) to the original side length (x) when the scale factor is 1/4.
What is y=(1/4)x
Copy 1 is an enlargement of a 5-inch wide photo with a scale factor of 2.5. Copy 2 is a reduction of Copy 1 with a scale factor of 3/4. What is the width of Copy 2?
*Hint: we have 3 total drawings here*
What is 9 and 3/8 inches OR 9.375 inches?
An original shape has an area of 10cm2. What is the area of a scale drawing made with a scale factor of 3?
What is 90cm2?
What term describes the constant ratio of corresponding side lengths between a scale drawing and an original figure?
What is a Scale factor?
How do you find the scale factor when given side lengths from both an original figure and a scale drawing?
What is divide the side length of the scale drawing by the corresponding side length of the original figure.
Scale Factor= Scaled/Original
A small surfboard is a scale drawing of a large surfboard using a scale factor of 1/16. If the small surfboard is 6 and 1/8 inches long, how long is the large surfboard in inches and feet?
What is 98 inches OR 8ft and 2inches
Scale drawing A has a scale factor of r. Scale drawing B is created from drawing A using a scale factor of k. What is the total scale factor from the original figure to drawing B?
What is r x k?
Scale drawing A has an area of 3/4 sq in. Scale drawing B is created from drawing A using a scale factor of 12. What is the area of scale drawing B in square inches?
What is 108 sq in? (3/4 x 12 x 12)
What is the term for points, line segments, or angles that are in the same relative position in two related geometric figures?
What is corresponding?
If the scale factor from Figure X to Figure Y is 0.25, what is the scale factor from Figure Y to Figure X?
What is 4? (the reciprocal of 0.25)
ide length x on an original figure corresponds to side length y on a scale drawing. If y = 0.25x, find x when y = 2.
What is 8? ( 2/0.25)
Figure A is scaled to Figure B with a scale factor of 3. Figure B is scaled to Figure C with a scale factor of 1/6. What single scale factor converts Figure A directly to Figure C?
What is 1/2? ( 3 x 1/6)
A right triangle has a base of 8cm and a height of 10 cm. If the triangle is scaled using a scale factor of 1/2, what is the area of the scaled triangle?
What is 10 sq cm? (Original area x SF x SF)
How can you tell if a scale factor (r) produces an enlargement or a reduction without looking at the drawing?
What is "it is an enlargement if r > 1 and a reduction if 0 < r < 1"?
If a scale factor is equal to 1, what does this tell you about the scale drawing compared to the original figure?
What is the scale drawing is identical to the original?
Triangle ABC has side lengths of 3, 4, and 5. Triangle DEF is an enlargement created with a scale factor of 2 and 1/3. What is the perimeter of Triangle DEF?
What is 28? (12 x 7/3)
A floor plan uses a scale of $0.5cm = 3 meters. If a hallway is $18 meters long in real life, how long is it on the floor plan in centimeters?
What is 3 cm? (18 / 3 x 0.5)
he equation y = 0.25x relates side length x on an original figure to corresponding side length y on its scale drawing. What is the value of x when y = 2?
What is 8? ( 2 / 0.25)
What mathematical relationship exists between the corresponding lengths of an original figure and its scale drawing?
What is a proportional relationship(where the constant of proportionality is the scale factor)?