Key concepts of geometry
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The document defines key geometry terms like point, line, and plane. It provides examples and notations for each. It then gives a problem about 8 points (A, B, C, etc.) that are corners of a box. It asks how many lines can be formed between the points, what lines contain point A, what planes can be formed, what planes contain line DC, and what planes intersect at line BF. It provides the answers to each question in the problem.
Key concepts of geometry
- 2. Introduction to undefined terms
- 3. The learner are expected to: describe the undefined terms; give examples of objects that maybe used to represent the undefined terms; name the identified point(s), line(s) and plane(s) in a given figure;
- 4. Akala ko tayo pero hindi…
- 6. Anong point ng mga linyang sinambit mo kung plane friends lang naman tayo.
- 7. Sana intersecting lines na lang tayo, para magmeet tayo sa isang point.
- 8. #WALANGKAYO Feelings in all levels are suspended according to your pag-asa.
- 9. Ang crush parang math problem, pag di mo makuha titigan mo na lang.
- 10. Di kita nakita sa party kanina, ano suot mo? Forever. Kaya di mo ko mahanap
- 15. Term Illustration Description Notation Point A A point suggests an exact location in space. It has no dimension. We use a capital letter to name a point. point A
- 16. Term Illustration Description Notation Line A line is a set of points arranged in a row. It is extended endlessly in both directions. It is a one- dimensional figure. Two points determine a line. That is, two distinct points are contained by exactly one line. We use a lower case letter or any two points on the line to name the line. RV VR or m m R V
- 17. Term Illustration Description Notation Plane A plane is a set of points in an endless flat surface. The following determine a plane: (a) three non- collinear points; (b) two intersecting lines; (c) two parallel lines; or (d) a line and a point not on the line. Plane PQR or PQR
- 18. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? What are the lines that contain the point A? Identify the different planes which can be formed by these points. What are the planes that contain line DC? What are the planes that intersect at line BF?
- 19. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? 28 What are the lines that contain the point A? Identify the different planes which can be formed by these points. What are the planes that contain line DC? What are the planes that intersect at line BF?
- 20. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? 28 What are the lines that contain the point A? AB, AC, AD, AE, AF, AG, AH Identify the different planes which can be formed by these points. What are the planes that contain line DC? What are the planes that intersect at line BF?
- 21. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? 28 What are the lines that contain the point A? AB, AC, AD, AE, AF, AG, AH Identify the different planes which can be formed by these points. ABC, ADE, ABE, CDH, BCG, EFG, ABG, BCE, CDE, ADF, ACF, ACH, BDE, BDG, BEG, DEG, AFH, BFH, ACE, BDF What are the planes that contain line DC? What are the planes that intersect at line BF?
- 22. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? 28 What are the lines that contain the point A? AB, AC, AD, AE, AF, AG, AH Identify the different planes which can be formed by these points. ABC, ADE, ABE, CDH, BCG, EFG, ABG, BCE, CDE, ADF, ACF, ACH, BDE, BDG, BEG, DEG, AFH, BFH, ACE, BDF What are the planes that contain line DC? ABC, CDH, CDE What are the planes that intersect at line BF?
- 23. Given: The points A, B, C, D, E, F, G, H are corners of a box shown below: How many lines are possible which can be formed by these points? 28 What are the lines that contain the point A? AB, AC, AD, AE, AF, AG, AH Identify the different planes which can be formed by these points. ABC, ADE, ABE, CDH, BCG, EFG, ABG, BCE, CDE, ADF, ACF, ACH, BDE, BDG, BEG, DEG, AFH, BFH, ACE, BDF What are the planes that contain line DC? ABC, CDH, CDE What are the planes that intersect at line BF? ABF, BCF, BDF