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1-1 Study Guide and Intervention: Points, Lines, and Planes

The document defines key geometric terms like points, lines, planes, collinear, and coplanar. It provides examples of naming points, lines, and planes using 1-2 identifying points. Exercises ask students to name lines and planes based on given points, determine if lines or planes intersect, and draw figures representing geometric relationships. The document continues with examples and exercises about intersections of lines, planes, and points in space.

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U min Kang
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3K views2 pages

1-1 Study Guide and Intervention: Points, Lines, and Planes

The document defines key geometric terms like points, lines, planes, collinear, and coplanar. It provides examples of naming points, lines, and planes using 1-2 identifying points. Exercises ask students to name lines and planes based on given points, determine if lines or planes intersect, and draw figures representing geometric relationships. The document continues with examples and exercises about intersections of lines, planes, and points in space.

Uploaded by

U min Kang
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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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
𝐴𝐵 ⃡ , or 𝐵𝐶
⃡

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. ⃡𝑨𝑩 , ⃡𝑨𝑪 , ⃡𝑩𝑪 , or ℓ

2. What is another name for line m? ⃡𝑩𝑫

⃡ . D or E
3. Name a point not on 𝐴𝐶

4. What is another name for line ℓ? ⃡𝑨𝑪 , ⃡𝑨𝑩 , or ⃡𝑩𝑪

5. Name a point not on line ℓ or line m. E

Draw and label a figure for each relationship.


6. ⃡𝐴𝐵is in plane Q.

⃡ intersects ⃡𝐴𝐵 at P.
7. 𝑆𝑇

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

⃡ intersect point D? Explain.


b. Does 𝑨𝑩
No. 𝐴𝐵 is coplanar with D, but D is not on the line ⃡𝐴𝐵.
⃡

Exercises
Refer to the figure.

1. Name the intersection of plane N and line ⃡𝐴𝐸 . B

⃡ and 𝐷𝐶
2. Name the intersection of 𝐵𝐶 ⃡ . C

⃡ intersect 𝐴𝐸
3. Does 𝐷𝐶 ⃡ ? Explain.
No. ⃡𝑫𝑪 is contained in plane N , but it does not contain point E.
Refer to the figure.

4. Name the three line segments that intersect at point A.


̅̅̅̅ 𝑨𝑫 and ̅̅̅̅
𝑨𝑩, ̅̅̅̅ 𝑨𝑮
5. Name the line of intersection of planes GAB and FEH.
⃡𝑮𝑯

6. Do planes GFE and HBC intersect? Explain.


Yes, they intersect at ⃡𝑯𝑬.

Chapter 1 6 Glencoe Geometry

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