1-1 Study Guide and Intervention | High School

University:
High School
Course:
High School Algebra
Academic year:

2023
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61

Pages:

2
Author:

customer-8791411

NAME _____________________________________________ DATE _____________________________ PERIOD _____________ 1-1 Study Guide and Intervention Points, Lines, and Planes Name Points, Lines, and Planes In geometry, a point is a location, a line contains points, and a plane is a flat surface that contains points and lines. If points are on the same line, they are collinear. If points on are the same plane, they are coplanar. Example: Use the figure to name each of the following. a. a line containing point A The line can be named as ℓ. Also, any two of the three points on the line can be used to name it. ⃡ , 𝐴𝐶 ⃡ , or 𝐵𝐶 ⃡ 𝐴𝐵 b. a plane containing point D The plane can be named as plane N or can be named using three noncollinear points in the plane, such as plane ABD, plane ACD, and so on. Exercises Refer to the figure. 1. Name a line that contains point A. 2. What is another name for line m? ⃡ . 3. Name a point not on 𝐴𝐶 4. What is another name for line ℓ? 5. Name a point not on line ℓ or line m. Draw and label a figure displaying each of the relationship given in Exercises 6-10. ⃡ is in plane Q. 6. 𝐴𝐵 7. ⃡𝑆𝑇 intersects ⃡𝐴𝐵 at P. 8. Point X is collinear with points A and P. 9. Point Y is not collinear with points T and P. 10. Line ℓ contains points X and Y. Chapter 1 5 Glencoe Geometry NAME _____________________________________________ DATE _____________________________ PERIOD _____________ 1-1 Study Guide and Intervention (continued) Points, Lines, and Planes Points, Lines, and Planes in Space Space is a boundless, three-dimensional set of all points. It contains lines and planes. The intersection of two or more geometric figures is the set of points they have in common. Example a. Name the intersection of the planes O and N. The planes intersect at line ⃡𝐴𝐵. b. Does ⃡𝑨𝑩 intersect point D? Explain. ⃡ is coplanar with D, but D is not on the line 𝐴𝐵 ⃡ . No. 𝐴𝐵 Exercises Refer to the figure. 1. Name the intersection of plane N and line ⃡𝐴𝐸 . 2. Name the intersection of ⃡𝐵𝐶 and ⃡𝐷𝐶 . ⃡ intersect 𝐴𝐸 ⃡ ? Explain. 3. Does 𝐷𝐶 Refer to the figure. 4. Name the three line segments that intersect at point A. 5. Name the line of intersection of planes GAB and FEH. 6. Do planes GFE and HBC intersect? Explain. Chapter 1 6 Glencoe Geometry