Construction Activities
Topic Index | Geometry Index | Regents Exam Prep Center

 

1.  Draw two quadrilaterals of about the same shape as the ones shown below.  Using your straightedge and compass, bisect each side of each figure.  Join the midpoints of the four sides of each figure in order, so that two new quadrilaterals are formed.  What do you notice?

 

 

 

2.  Draw a line segment that is several inches long.  Using your straightedge and compass, divide the segment into four equal parts.  Into what other number of equal parts, less than ten, can a line segment be easily divided?

 

 

 

3.  Draw two triangles of the same shape as shown below.  Using your straightedge and compass, bisect each of the three angles of each figure.  What do you notice?

 

 

 

4.  Using what you know about constructions, can you figure out a way to construct the following items?
 
the altitudes of a scalene triangle
the altitudes of an obtuse triangle
the medians of a scalene triangle
the medians of an obtuse triangle
a square


 

5. Construct an angle of 30º.  Justify your construction.

 

 
6. Given segments of length a and b, construct a rectangle that has a vertex at A
       on the given reference line.  Justify why your construction is correct.




 

7. Given the following figure, construct a parallelogram having sides and and <ABC.  Justify why your construction is correct.


 



 

8. Construct an equilateral triangle with sides of length a.