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Lesson Menu Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Undefined Terms Example 1:Name Lines and Planes Example 2:Real-World Example: Model Points, Lines, and Planes Example 3:Draw Geometric Figures Example 4:Interpret Drawings
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CCSS Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Mathematical Practices 4 Model with mathematics. 6 Attend to precision.
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Then/Now You used basic geometric concepts and properties to solve problems. Identify and model points, lines, and planes. Identify intersecting lines and planes.
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Vocabulary undefined term point line plane collinear coplanar intersection definition defined term space
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Concept
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Example 1 Name Lines and Planes A. Use the figure to name a line containing point K. Answer:
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Example 1 Name Lines and Planes B. Use the figure to name a plane containing point L. Answer:
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Example 1a A. Use the figure to name a line containing the point X. A.line X B.line c C.line Z D.
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Example 1a A. Use the figure to name a line containing the point X. A.line X B.line c C.line Z D.
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Example 1b B. Use the figure to name a plane containing point Z. A.plane XY B.plane c C.plane XQY D.plane P
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Example 1b B. Use the figure to name a plane containing point Z. A.plane XY B.plane c C.plane XQY D.plane P
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A.B. C.D. Example 3a A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines.
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A.B. C.D. Example 3a A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines.
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Example 4 Interpret Drawings A. How many planes appear in this figure? Answer:
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Example 4 Interpret Drawings A. How many planes appear in this figure? Answer: There are two planes: plane S and plane ABC.
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Example 4 Interpret Drawings B. Name three points that are collinear. Answer:
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Example 4 Interpret Drawings B. Name three points that are collinear. Answer: Points A, B, and D are collinear.
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Example 4 Interpret Drawings C. Are points A, B, C, and D coplanar? Explain. Answer:
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Example 4 Interpret Drawings C. Are points A, B, C, and D coplanar? Explain. Answer: Points A, B, C, and D all lie in plane ABC, so they are coplanar.
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Example 4 Interpret Drawings Answer:
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Example 4 Interpret Drawings Answer: The two lines intersect at point A.
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Example 4a A.one B.two C.three D.four A. How many planes appear in this figure?
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Example 4a A.one B.two C.three D.four A. How many planes appear in this figure?
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Example 4b A.B, O, and X B.X, O, and N C.R, O, and B D.A, X, and Z B. Name three points that are collinear.
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Example 4b A.B, O, and X B.X, O, and N C.R, O, and B D.A, X, and Z B. Name three points that are collinear.
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Example 4c A.yes B.no C.cannot be determined C. Are points X, O, and R coplanar?
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Example 4c A.yes B.no C.cannot be determined C. Are points X, O, and R coplanar?
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Example 4d A.point X B.point N C.point R D.point A
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Example 4d A.point X B.point N C.point R D.point A
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End of the Lesson
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