1. Constructions

2. Tools Required
COMPASS
STRAIGHTEDGE or Ruler

3. Copy a Segment Use compass to measure 𝐴𝐵
Place compass at point 𝐶 and draw an arc
Label points on arc 𝐷, 𝐸, 𝐹, …
Use straight edge to draw 𝐶𝐷 , 𝐶𝐸 , 𝐶𝐹 , …

4. Bisect an Angle
Place compass at point 𝐴 and draw arc through both sides of ∠𝐶𝐴𝐵
Label new points on sides of the angle 𝐷 and 𝐸
Place compass at point 𝐷 and draw an arc in the interior of ∠𝐶𝐴𝐵
Without adjusting the compass do the same at point 𝐸 to create point 𝐹
Use straightedge to draw 𝐴𝐹

5. Try Bisecting an Obtuse Angle
Use protractor to measure angles to check your bisection
𝑚 ∠𝐶𝐴𝐵 =
𝑚 ∠𝐶𝐴𝐹 =
𝑚 ∠𝐵𝐴𝐹 =

6. Try Bisecting a Straight Angle
Use protractor to measure angles to check your bisection
𝑚 ∠𝐶𝐴𝐵 =
𝑚 ∠𝐶𝐴𝐹 =
𝑚 ∠𝐵𝐴𝐹 =

7. Perpendicular through a Point on the Line
Place compass at point 𝐴 and create points 𝐶 and 𝐵 on line 𝑛 such that 𝐴𝐶 ≅ 𝐴𝐵
Adjust compass and place at point 𝐶, then draw an arc above or below point 𝐴
Without adjusting the compass do the same at point 𝐵 to create point 𝐷
Use straightedge to draw 𝐴𝐷

8. Perpendicular Bisector and Midpoint
Open compass greater than 𝐶𝐵
Place compass at point 𝐶 and draw arcs above and below the segment
Without adjusting compass place at point 𝐵 and draw arcs creating points 𝐷 and 𝐸
Use straightedge to draw 𝐷𝐸 while creating point 𝑀 on 𝐶𝐵

9. Perpendicular through a Point not on the Line
Place compass at point 𝐹 to create points 𝐴 and 𝐵 on line 𝑛 such that
Place compass at point 𝐴 and draw an arc below line 𝑛
Without adjusting the compass place at point 𝐵 to draw an arc below line 𝑛 to create point 𝐶
Use straightedge to draw 𝐶𝐹

10. Copy an Angle
Place compass at point 𝐵 and draw an arc through both sides of ∠𝐴𝐵𝐶 creating points 𝐹 and 𝐺
Without adjusting compass place at point 𝐷 and draw the “same” arc creating point 𝐻
Use compass to copy 𝐹𝐺 at point 𝐻 creating point 𝐼
Use straightedge to draw 𝐷𝐼

11. Try constructing the Perpendicular bisector of each side