Practice with Constructions
Topic Index | Geometry Index | Regents Exam Prep Center


Answer the following questions dealing with constructions.

1.

According to the construction shown in this diagram, what would you call segment ?

Choose:

the bisector of angle C  
the median to side
the perpendicular bisector of segment  
the altitude to side

 

 

2.


This construction shows a perpendicular from a point off the line.  The reason that is perpendicular to line l  is that 

Choose:

the locus of points equidistant from two given points is a perpendicular bisector of the segment formed by the two points.
perpendicular lines always form right angles. 
 two congruent triangles are formed illustrating SAS.
the locus of points equidistant from a given point is a circle.

 

 

3.


This diagram shows the construction of a parallel line m.  The reason that line l is parallel to line m is 

Choose:

when two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.
when two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

 

 

4.

In this construction, line segment is called the:

Choose:

altitude to side
median to side
angle bisector of angle A
perpendicular to side

 

 

 

5.

Which of the congruent triangle theorems is used in the explanation of the construction of copy an angle?

Choose:

SSS
SAS 
 ASA

 

 


 

6.

Explain why the radius of a circle is the same length as the side of its inscribed regular hexagon.

 

 


 

7.


The diagram at the left shows an inscribed regular hexagon and two inscribed triangles. 
TRUE or FALSE:  The red triangle and the green triangle are equilateral triangles.

Choose:

true
 false
not enough information to decide