SOLVED:Compare Collinear Points And Coplanar Points. - Numerade

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Compare collinear points and coplanar points. Compare collinear points and coplanar points. Geometry A Common Core Curriculum Ron Larson, Laurie… 1st Edition Chapter 1, Problem 1 View All Chapters

Step 1

Collinear points are points that lie on the same line. For example, if we have points A and B, and they lie on the same line, then they are collinear. This is because any two points can determine a line. Mathematically, we can represent this as: \[A, B \in Show more…

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Key Concepts

Collinear Points Collinear points are points that lie on the same straight line. This concept is foundational in one-dimensional geometry and determines when multiple points can be connected by a straight line without any deviations. Coplanar Points Coplanar points are points that all reside within the same plane. This concept is central to two-dimensional geometry and helps establish whether points share a common flat surface, regardless of whether they are aligned on a single straight line. Key Concept Premium Feature Explore the core concept behind this problem. View Video View Video Key Concept Premium Feature Explore the core concept behind this problem. Your browser does not support the video tag. Close Try it Now

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Compare collinear points and coplanar points.

Compare collinear points and coplanar points.

COLLINEAR POINTS Three or more points are collinear if they all lie on the same line. Use the steps below to determine if the set of points {$ A(2, 3) $, $ B(2, 6) $, $ C(6, 3) $} and the set of points {$ A(8, 3) $, $ B(5, 2) $, $ C(2, 1) $} are collinear. (a) For each set of points, use the Distance Formula to find the distances from $ A $ to $ B $ from $ B $ to $ C $ and from $ A $ to $ C $. What relationship exists among these distances for each set of points? (b) Plot each set of points in the Cartesian plane. Do all the points of either set appear to lie on the same line? (c) Compare your conclusions from part (a) with the conclusions you made from the graphs in part (b). Make a general statement about how to use the Distance Formula to determine collinearity.

Functions and Their Graphs

Rectangular Coordinates

Transcript

00:02 Collinear points are points that lie on the same line lie on the same line while coplanar points while coplanar points while coplanar points are points are points that lie on that lie on the same… Need help? Use Ace Ace is your personal tutor. It breaks down any question with clear steps so you can learn. Start Using Ace Ace is your personal tutor for learning Step-by-step explanations Instant summaries Summarize YouTube videos Understand textbook images or PDFs Study tools like quizzes and flashcards Listen to your notes as a podcast

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