Scale Factor and Similarity
In this chapter you will be learning about scale models and their relationship to scale factors and similarities.
Scale: Is a comparison between the actual size of an object and the size of it's diagram. It can be represented as a ratio, fraction, percent, in words or in a diagram. For Example: the scale 1:32 means that 1 cm in the diagram represents 32 cm in the actual object.
Scale Diagram: Is a drawing that is similar to the actual figure or object. Can be bigger or smaller then the actual figure, but must be in the same proportions.
Proportions: SI a relationship that shows 2 ratios are equal. It can be written in fractions or ratio form. Like equivalent fractions but equivalent drawings.
Scale Diagram: Is a drawing that is similar to the actual figure or object. Can be bigger or smaller then the actual figure, but must be in the same proportions.
Proportions: SI a relationship that shows 2 ratios are equal. It can be written in fractions or ratio form. Like equivalent fractions but equivalent drawings.
![Picture](/uploads/2/8/6/5/28654915/5294007.png)
Enlargements and Reductions
-Enlargements: An increase in dimensions of an abject by constant factor, (can be 2-D or 3-D)
-Reductions: A decrease in the dimensions of an object by a constant factor, (can be 2-D or 3-D)
Scale Factor: The constant factor by which all dimensions of an object are enlarged or reduced in a scale drawing.
-Enlargements: An increase in dimensions of an abject by constant factor, (can be 2-D or 3-D)
-Reductions: A decrease in the dimensions of an object by a constant factor, (can be 2-D or 3-D)
Scale Factor: The constant factor by which all dimensions of an object are enlarged or reduced in a scale drawing.
Using the Scale Factor to determine the actual length of something.
Method 1:
-Use scale; a scale diagram of a skateboard uses a scale of 1:14 what is the actual length of the skateboard?
- The scale 1:14 mean that the actual dimensions of the skateboard are 14 times the dimensions of the diagram. Multiply the length bu 14. 5.5 x 14 = 77
Method 2:
-Use Proportions; Set up proportions using the scale and the measurement that is given.
Method 1:
-Use scale; a scale diagram of a skateboard uses a scale of 1:14 what is the actual length of the skateboard?
- The scale 1:14 mean that the actual dimensions of the skateboard are 14 times the dimensions of the diagram. Multiply the length bu 14. 5.5 x 14 = 77
Method 2:
-Use Proportions; Set up proportions using the scale and the measurement that is given.
![Picture](/uploads/2/8/6/5/28654915/6061739.png)
Method 1:
-Use scale; a scale diagram of a skateboard uses a scale of 1:14 what is the actual length of the skateboard?
- The scale 1:14 mean that the actual dimensions of the skateboard are 14 times the dimensions of the diagram. Multiply the length bu 14. 5.5 x 14 = 77
-Use scale; a scale diagram of a skateboard uses a scale of 1:14 what is the actual length of the skateboard?
- The scale 1:14 mean that the actual dimensions of the skateboard are 14 times the dimensions of the diagram. Multiply the length bu 14. 5.5 x 14 = 77
![Picture](/uploads/2/8/6/5/28654915/7678424.png)
Method 2:
-Use Proportions; Set up proportions using the scale and the measurement that is given.
-Use Proportions; Set up proportions using the scale and the measurement that is given.
![Picture](/uploads/2/8/6/5/28654915/821377.png)
Going by the Enlargement what would the dimensions of the original shape be. Use what ever method you choose.
When you have figure out this question, click the 'Button" button below to check answer.
When you have figure out this question, click the 'Button" button below to check answer.