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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 \( \square \) \( \square \) supplementary to perpendicular to skew to parallel to complementary to the same length as

Ask by Byrd Warren. 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 the same edge of the plot.

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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 they form right angles (90 degrees) with that edge. - Since all the rows of crops are perpendicular to the same edge, they are parallel to each other. ### Explanation: 1. **Perpendicular Lines**: When two lines (or rows, in this case) intersect at a right angle, they are said to be perpendicular. This means that if one row is perpendicular to the edge of the plot, every other row that is also perpendicular to that same edge will be at the same angle relative to that edge. 2. **Parallel Lines**: Lines that are parallel to each other never intersect and maintain the same distance apart. Since all rows of crops are perpendicular to the same edge, they do not intersect with each other and are therefore parallel. ### Filling in the Blanks: Based on the conclusion drawn, we can fill in the blanks in the statement: - The **rows of crops** are **parallel to** each other because they are all **perpendicular to** the same edge of the plot. ### Final Statement: The rows of crops are parallel to each other because they are all perpendicular to the same edge of the plot.

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Did you know that the concept of parallel lines has been around since ancient Greece? Euclid, often referred to as the "father of geometry," laid down the groundwork for understanding parallel lines in his work "Elements" around 300 BC. This fundamental concept is essential not just in geometry but also in various fields like architecture and engineering, helping to create structures that are level and even! If you’re grappling with parallel lines and their properties, remember this simple tip: always look for corresponding angles. When two lines intersected by a transversal create equal corresponding angles, you can confidently say the lines are parallel! Common mistakes often happen when confusing supplementary angles with corresponding angles, so double-check before concluding!

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