Download Geometry Construction Exercises (Use a compass

Name________________ No._____
Geometry Construction Exercises (Use a compass and straightedge only; no protractors)
1. Draw segment
AB; bisect it.
1.
2. Draw segment
AB; construct a
point N such that
AN= ¼ AB.
2.
3. What other
fractions of
segment AB can
you construct?
3.
4. Construct the
angle bisector.
4.
5. Bisect each
5.
angle of the
triangle. Are he
angle bisectors
concurrent?
6. The bisector of 6.
XYZ is YT.
Write the names
of the congruent
angles that are
formed.
7. Construct a 45 7. – 10.
degree angle.
8. Construct a
22½ degree angle.
9. Construct a 135
degree angle.
10. Construct a
67½ degree angle.
Name________________ No._____
11. Draw two
11.
acute angles. Call
them J and K .
Construct a third
angle that has the
measure
1
(mJ  mK )
2
12. Draw the four 12.
directions found
on a compass. Use
a straightedge and
compass to
construct a line
pointing in the
direction NorthNorth East.
13. Construct a
13.
112 ½ degree
angle.
14. Construct an
82 ½ degree angle.
14.
15. Construct a
157 ½ degree
angle.
15.
16. Construct a
97½ degree angle.
16.
Name________________ No._____
17. Ray BF bisects 17.
EBG ,
mABC  90 ,
mABE  20 ,
mGBC  24 .
What is mABF ?
18. Construct a
18.
segment with
length 4CD – ½ 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.
19. – 21.
22. – 24.
25.