Question

example 2 name the geometric term(s) modeled by each object. 22 23 24 25 26. a blanket 27. a knot in a rope 28. a telephone pole 29. the edge of a desk 30. two connected walls 31. a partially opened folder. example 3 draw and label a figure for each relationship. 32. line m intersects plane r at a single point. 33. two planes do not intersect. 34. points x and y lie on $overleftrightarrow{cd}$. 35. three lines intersect at point j but do not all lie in the same plane. 36. points a(2,3), b(2, - 3), c, and d are collinear, but a, b, c, d, and f are not. 37. lines $overleftrightarrow{lm}$ and $overleftrightarrow{np}$ are coplanar but do not intersect. 38. $overleftrightarrow{fg}$ and $overleftrightarrow{jk}$ intersect at p(4,3), where point f is at (-2,5) and point j is at (7,9). 39. lines s and t intersect, and line v does not intersect either one.

Explanation:

Step1: Analyze object 22

A pen can be modeled as a line - segment as it has two endpoints and a definite length.

Step2: Analyze object 23

A house can be related to a three - dimensional geometric shape, but considering basic geometric terms, its walls and surfaces can be related to planes.

Step3: Analyze object 24

A square - shaped object like this is a model of a plane.

Step4: Analyze object 25

The open - door structure has edges which can be modeled as lines and the flat parts as planes.

Step5: Analyze object 26

A blanket is flat and can be modeled as a plane.

Step6: Analyze object 27

A knot in a rope can be modeled as a point.

Step7: Analyze object 28

A telephone pole can be modeled as a line - segment.

Step8: Analyze object 29

The edge of a desk can be modeled as a line - segment.

Step9: Analyze object 30

Two connected walls meet at an edge which can be modeled as a line.

Step10: Analyze object 31

A partially opened folder has two planes (the two parts of the folder) and the hinge can be considered as a line.

Step11: For 32

Draw a plane \(R\) (a parallelogram to represent a plane) and a line \(m\) that touches the plane at a single point. Label the plane \(R\), the line \(m\) and the point of intersection.

Step12: For 33

Draw two parallel parallelograms to represent two non - intersecting planes. Label them as different planes.

Step13: For 34

Draw a line \(\overleftrightarrow{CD}\) and mark two points \(X\) and \(Y\) on the line.

Step14: For 35

Draw three lines that meet at a point \(J\). Make sure the lines are not all in the same flat surface (for example, one line can come out of the paper while the other two are on the paper). Label the lines and the point \(J\).

Step15: For 37

Draw a plane and two non - intersecting lines \(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NP}\) on the plane.

Step16: For 39

Draw two intersecting lines \(s\) and \(t\) and a third line \(v\) that does not intersect either \(s\) or \(t\).

Answer:

1. Line - segment
2. Planes
3. Plane
4. Lines and planes
5. Plane
6. Point
7. Line - segment
8. Line - segment
9. Line
10. Planes and line
11. Draw as described above
12. Draw as described above
13. Draw as described above
14. Draw as described above
15. Draw as described above
16. Draw as described above