Introduction

If you are a high school student, you must have come across the term \”points lines and planes\” in your geometry class. For those who are new to the concept, it is the fundamental building block of geometry. In this article, we will provide you with the answer key to the points lines and planes worksheet.

The Basics

Before we dive into the answer key, let\’s review some basics. A point is a location in space that has no dimensions. A line is a straight path that extends infinitely in both directions. A plane is a two-dimensional flat surface that extends infinitely in all directions.

Points Lines and Planes Worksheet

The points lines and planes worksheet is a set of questions that tests your understanding of the concept. It includes questions on identifying points, lines, and planes, as well as questions on the relationship between them. You will also be asked to draw diagrams and solve problems related to them.

Answer Key

1. Identify the points, lines, and planes in the following diagram: Answer: Points – A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z Lines – AB, CD, EF, GH, IJ, KL, MN, OP, QR, ST, UV, WX, YZ Planes – ABCD, EFGH, IJKL, MNOP, QRST, UVWX, YZAB 2. Draw a diagram of two intersecting lines and a plane that contains them. Answer: (Insert diagram) 3. What is the relationship between two intersecting lines? Answer: Two intersecting lines form four angles; two acute and two obtuse angles. 4. What is the relationship between two parallel lines? Answer: Two parallel lines never intersect and are always the same distance apart. 5. What is the relationship between a point and a line? Answer: A point can lie on a line, and a line can pass through a point. 6. What is the relationship between a point and a plane? Answer: A point can lie on a plane, and a plane can contain a point. 7. What is the relationship between a line and a plane? Answer: A line can lie in a plane, and a plane can contain a line. 8. Calculate the distance between the points A(2,3) and B(5,7). Answer: The distance between A and B is √((5-2)²+(7-3)²) = √(9+16) = √25 = 5 units. 9. What is the equation of a line that passes through the point (2,3) and has a slope of 2? Answer: The equation of the line is y = 2x – 1. 10. What is the equation of a plane that contains the points A(1,2,3), B(4,5,6), and C(7,8,9)? Answer: The equation of the plane is 2x – y + z = -3.

Conclusion

In conclusion, understanding points lines and planes is crucial in geometry. We hope that this article has given you a better understanding of the concept and helped you with the points lines and planes worksheet. Remember to practice and apply the knowledge gained to become a proficient geometry student.