Respuesta :
Answer: C D B
Step-by-step explanation:
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The correct statements for using proportions to solve for missing measures are:
- Corresponding dimensions must be in the same position in the ratios.
- The two ratios in the proportion are equal.
- The enlargement or reduction is proportional to the original figure.
What are ratios?
Ratios are fractional values representing relations between two quantities.
What are proportions?
When two ratios are equal, they are said to be in proportion.
What is a scale factor?
The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?
In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
- Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.
- Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.
- The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).
- The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.
- The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.
∴ The correct statements for using proportions to solve for missing measures are:
- Corresponding dimensions must be in the same position in the ratios.
- The two ratios in the proportion are equal.
- The enlargement or reduction is proportional to the original figure.
Learn more about Proportions at
https://brainly.com/question/870035
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