Basic Geometric Figures

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BASIC GEOMETRIC FIGURES The points on the map below represent the positions of different objects at Higgins Park.

P • Picnic Table

R • Restrooms S • Shelter

V B • • Volleyball Baseball Court Field 1. Draw the geometric figure that represents to the path John travels as he walks from the picnic table to the volleyball court. Name the figure. 2. Draw the geometric figure that represents the path Darla travels as she walks from the shelter to the restrooms and continues past in the same direction. Name the figure. 3. Draw the line that includes the position of the picnic table and the baseball field. Name it in two different ways. 4. Draw the line that includes the position of the restrooms and the volleyball court. Name it in two different ways. 5. Do the figures you drew in Exercises 3 and 4 intersect? 6. What point lies on both PV and PR? 7. Will PV and RS intersect? 8. Sandy and Larry are standing at the picnic table. Sandy walks to the baseball field and Larry walks to the volleyball court. Name the angle formed by the two different paths in two different ways.

9. What is the vertex of the angle formed in Exercise 8?

The sides?

Determine if each of the following statements is true or false. If the statements are false, explain why. 10.An infinite number of lines can be drawn trough one point.

11.Exactly one line can be drawn through two points.

12.A line contains exactly one ray.

13.Exactly one plane can be drawn through three points.

14.Two lines can intersect in more than one point.

15.An angle is formed by joining the endpoints of two rays.

16.If point X and point Y are on line K, then segment YX and segment XY are the same segment.

17.Two planes can intersect in more than one line.

18.Complete the following table: Number of named points on a line

Picture

(X)

(Y) 1

2 A 3 4 5 X

Number of different segments that can be drawn between the named points

B 3

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