Question

which of the following statements are true for using proportions to solve for missing measures? choose three correct answers.
corresponding dimensions must be in different positions in the ratios.
the enlargement or reduction is proportional to the original figure.
the scale factor will be different for each ratio.
the two ratios in the proportion are equal.
corresponding dimensions must be in the same position in the ratios.

Explanation:

• For similar figures (which is related to proportions), corresponding dimensions must be in the same position in the ratios. This is a key property for setting up proportions correctly.
• When dealing with enlargement or reduction (similarity transformations), the figure is proportional to the original figure. This proportionality is fundamental for using proportions.
• In a proportion, the two ratios are equal. This equality is what allows us to solve for missing measures.

Answer:

• Corresponding dimensions must be in the same position in the ratios.
• The enlargement or reduction is proportional to the original figure.
• The two ratios in the proportion are equal.