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Question
1 multiple choice 1 point a group of students measured the interior angles of three different parallelograms. their measurements were averaged together and marked on the given diagram. what does inductive reasoning allow you to conclude about the opposite angles of a parallelogram? 2 multiple choice 1 point what property could be used to justify the statement 1×d = d?
Brief Explanations
- For the first question, by observing the angle - measures in the three parallelograms, we see that in each case, the opposite angles have the same measure. Inductive reasoning based on these multiple examples leads to the conclusion that opposite angles in a parallelogram are congruent.
- For the second question, the multiplicative identity property states that any number multiplied by 1 is the number itself. So, for the statement \(1\times D = D\), the multiplicative identity property is used.
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- opposite angles in a parallelogram are congruent
- Multiplicative identity