Practice with Constructions
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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 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