/ Name No. __Geometry Constructions

Exercises (Use a compass and straightedge only; no protractors) 1. Draw segment AB; bisect it.

1.

2.

3.

4.

5.

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2. Draw segment AB; construct a point N such that AN= i AB.

3. What other fractions of segment AB can you construct?

4. Construct the angle bisector.

5. Bisect each angle of the triangle. Are he angle bisectors concurrent? 6. The bisector of LXYZ is YT. Write the names of the congruent angles that are formed.

6.

7. -10. 11\

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7. Construct a 45 deqree anqle. 8. Construct a 22t degree angle. 9. Construct a 135 deqree anqle. 10. Construct a 67t degree angle.

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t C t t' Name No.Geome rry ons ruc Ions 11. Draw two acute angles. Call them LJ and LK.

Construct a third angle that has the meaSure 1-(mLJ +mLK)2 12. Draw the four directions found on a compass. Use a straightedge and compass to construct a line pointing in the direction North-North East. 13. Construct a 112 t degree angle.

14. Construct an 82 t degree angle.

15. Construct a 157 t degree angle.

16. Construct a 97t degree angle.

11.

12. /\

/ ,.' ­

1/

13.

14.

15.

16.

. .

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t C t t' Name No.Geome;ry ons ruc Ions

17. Ray BF bisects LEBG,

mLABC=90,

mLABE=20,

mLGBC=24.

What is mLABF?

17.

18.

19. ­ 21.

22. - 24.

25.

18. Construct a segment with length 4CD - t AB

19. Construct a segment of length 2a. 20. Construct a segment of length a + b. 21. Construct a segment of length b - a.

22. Construct an angle with measure x + y. 23. Construct an angle with measure x - y.

24. Construct an angle with measure 3y. 25. Construct triangle ABC with side length AB and angles A and B.

A B

a

J >

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C D

b

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A B B

_______ No.Geometry Constructions Name

All Cha ters 1. Given a segment, construct a congruent segment

(copy the segment).

2. Given a segment. bisect the segment.

3. Given an angle, construct a congruent angle (copy the angle).

4. Given an angle, bisect the angle.

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Name No.Geometry Constructions All Cha ters 5. Given a line and a point on the line, construct a perpendicular line to the given line through the given

point.

7. Given a line and a point on the line, construct a parallel line to the given line through the given point .

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6. Given a line and a point not on the line, construct a perpendicular line to the given line through the given point.

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8. Construct an equilateral triangle.

Name No.Geometry Constructions Chapter 4

9. Given two angles and a segment, construct a triangle.

10. Given an angle and two segments, construct a

triangl~

Chapter 6 9. Given an angle and two segments, construct a parallelogram.

< 10. Given two segments, construct a rectangle.

Geomet Constructions Name No. 11. Given a segment and an angle, construct a rhombus. 12. Given a trapezoid, construct its median.

Cha ter 7 9. Given a segment, separate it into 3 congruent parts.

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Name No.Geometry Constructions Chapter 8 9. Given two segments, construct their geometric mean

10. Given a segment of unit length, construct a

segment of length J2

Cha ter 9 9. Choose three points on a circle, then locate the center of the circle.

10. Given a circle and a point outside the circle, construct a line tangent to the circle through the given point.

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r

Geometr Constructions Name No. 11. Given a triangle, construct a circle inscribed in the triangle.

12. Given a circle, construct a tangent to the circle from a point on the circle (choose the point).

Chapter 10 9. Given a radius, construct a regular hexagon.

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_______ No.Geometry Constructions Name Cha ter 13

10. Circumscribe an equilateral triangle around a given 9. Construct an isosceles triangle with the given base circle.and vertex angle.

11. Construct a circle that is tangent to line p and 12. Construct the reflected image of the triangle over contains both points M and N. line m.

N

p ~(-------------~)

M m