The Solution:
Based on the diagram given in the question, we provide the following answers:
a. The type of construction demonstrated in the given diagram is the construction of two parallel lines ( that is, line BC and RS ).
Representing the geometric relationship in the construction, we that line BC is parallel to line RS. Symbolically, it is
[tex]\bar{BC}\parallel\bar{RS}[/tex]
b. The conjecture that can be determined from the construction is that angle B is equal to angle R. That is,
[tex]\angle CBR=\angle SRQ[/tex]
c. Justifying the above conjecture, we have
[tex]\begin{gathered} \angle CBR=\angle SRQ \\ \text{ Reason: They are corresponding angles.} \end{gathered}[/tex]
