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2:29 PM Wed Feb 19 18\% mylabschool.pearson.com ChatGP \( { }^{-} \) Max Headro... Encore: The... The Mystery... Enter Game... parallel lines... Geometry Period 11 Mckennah Person 02/19/25 2:29 PM This quiz: 23 point(s) \( \equiv \) Quiz: parallel lines chapter quiz Question 3 of 23 possible This question: 1 Submit quiz point(s) possible Question list Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 The following statement describes a plot of farmland. Based only on the statement, make a conclusion about the rows of crops, one edge of the plot, or both edges of the plot of farmland. Explain. The rows of crops are each perpendicular to one edge of the plot. The \( \square \) are \( \square \) each other because they are all \( \square \) opposite edges rows of crops

Ask by Blake Montgomery. in the United States
Feb 19,2025

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Answer

The rows of crops are parallel to each other because they are all perpendicular to one edge of the plot, and the opposite edges of the plot are parallel to each other.

Solution

To analyze the statement about the plot of farmland, let's break it down step by step. ### Known Conditions: 1. The rows of crops are each perpendicular to one edge of the plot. ### Conclusion: From the information given, we can conclude the following: - If the rows of crops are perpendicular to one edge of the plot, it means that the rows of crops form right angles (90 degrees) with that edge. - Since the rows are perpendicular to one edge, they must be parallel to the opposite edge of the plot. This is because in a rectangle (or any quadrilateral with parallel sides), if one set of lines (the rows of crops) is perpendicular to one edge, then it must be parallel to the edge that is opposite to it. ### Explanation: - The rows of crops are **parallel to each other** because they are all aligned in the same direction (perpendicular to one edge). - The **opposite edges** of the plot are also **parallel to each other** because they are defined as the edges that do not meet and are equidistant from each other. ### Final Statement: The rows of crops are **parallel to each other** because they are all **perpendicular to one edge of the plot**, and the **opposite edges** of the plot are **parallel to each other**. This conclusion follows logically from the properties of parallel and perpendicular lines in geometry.

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Bonus Knowledge

The concept of perpendicular lines, as described in your question, plays a vital role in agriculture, especially in designing fields. Farmers often align their crop rows perpendicular to the edges of their plots to maximize sunlight exposure and water drainage effectively. This strategic layout not only boosts plant growth but also simplifies the harvesting process, making it a critical aspect of efficient farming practices. One common mistake when interpreting such statements is confusing perpendicular lines with parallel lines. Remember, perpendicular lines intersect to form right angles, while parallel lines never touch. When visualizing your crop rows, if you imagine them meeting the plot's edge at right angles, you can easily see how they relate—keeping those mental diagrams clear will help in future mathematical challenges related to geometry!

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