CONSTRUCTIONS - Commack Schools
CONSTRUCTIONS
1. Construct a line segment congruent to AB
[pic]
2. . Construct an isosceles triangle with the given lengths below.
[pic]
[pic]
[pic]
3. Construct an equilateral triangle; all sides should have a length equal to AB
[pic]
[pic]
4. Construct an angle congruent to angle A
[pic]
[pic]
[pic]
[pic]
5. Bisect the given angle
[pic]
6. Bisect line segment AB
[pic]
7. Bisect the given angle
[pic]
8. Construct an equilateral triangle with sides of length x.
______________
x
[pic]
9. Copy the given angle.
[pic]
10. Construct an isosceles triangle with legs of length x and base of length y.
_____________ ___________
x y
[pic]
11. Bisect the given line segment
________________
12. Construct a line perpendicular to the given line
______________________
13. Construct the perpendicular bisector of the given line
_____________
14. Construct a line perpendicular to line k and goes through point P
[pic]
15. Construct a line perpendicular to line k and that goes through point R
[pic]
16. Construct a line parallel to the given line
__________________________
17. Construct the perpendicular bisector of the given line
____________________________
18. Construct a line perpendicular to line k and goes through point P
[pic]
29. Construct a line perpendicular to line k and that goes through point R
[pic]
20. Construct a median from vertex C
A
B C
21. Construct an altitude from vertex A
A
B C
22. Construct a median from vertex A
[pic]
23. Construct an altitude from vertex B
[pic]
24.
[pic]
25. Construct a regular hexagon inscribed in the given circle.
[pic]
26. Construct an equilateral triangle inscribed in the given circle.
[pic]
27. Construct a line tangent to the given circle.
[pic]
28. On the ray drawn below, using a compass and straightedge, construct an equilateral triangle with a vertex at R. The length of a side of the triangle must be equal to a length of the diagonal of rectangle ABCD.
[pic]
[pic]
29. Construct a line parallel to line segment AB.
[pic]
30. Bisect angle B
[pic]
31. Construct a line parallel to line segment BC.
[pic]
32. Using a compass and straightedge, construct an equilateral triangle with [pic] as a side. Using this triangle, construct a 30° angle with its vertex at A. [Leave all construction marks.]
[pic]
33. Using a compass and straightedge, construct a 45 degree angle.
[pic]
34.
[pic]
35. Construct a regular hexagon inscribed in the given circle.
[pic]
36. Using a compass and straightedge, construct an equilateral triangle with [pic] as a side. Using this triangle, construct a 30° angle with its vertex at A. [Leave all construction marks.]
[pic]
37. Using a compass and straightedge, construct a 45 degree angle.
[pic]
38. Construct an equilateral triangle inscribed in the given circle.
[pic]
39. Circumscribe the given triangle.
[pic]
40. Inscribe a circle in the given triangle.
[pic]
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