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Points, Lines, and Planes

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Points, Lines, and Planes

Geometric shapes illustration

📚 Part 1: Vocabulary and Definitions

1. Which of the following best describes a point in geometry?

A location with no size or dimension

A small circle on paper

A dot with length and width

A coordinate on a graph

2. A line extends infinitely in ________ direction(s).

one

two

three

four

3. Which geometric term describes a part of a line that starts at a point and extends infinitely in one direction?

Line segment

Ray

Plane

Point

4. Check all that apply to a plane:

Has length and width but no thickness

Extends infinitely in all directions

Can be named with three non-collinear points

Has a definite size and shape

🔢 Part 2: Segment Addition Postulate

5. If point B lies between points A and C, and AB = 8 cm and BC = 5 cm, what is AC?

AC = ________ cm

6. Points D, E, and F are collinear with E between D and F. If DE = 12 inches and DF = 20 inches, find EF.

EF = ________ inches

7. On line segment PQ, point R is between P and Q. If PR = 3x + 2, RQ = 2x - 1, and PQ = 26, find the value of x.

x = ________

✏️ Part 3: Applications and Reasoning

8. Draw and label three points A, B, and C that are not collinear. Then draw line AB, ray BC, and line segment AC.
9. Explain in your own words what the Segment Addition Postulate states and why it is useful in geometry.
10. Give a real-world example of each:

Point: _________________________________

Line: _________________________________

Plane: _________________________________

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