Question

Origami Is the Japanese art of paper folding the diagram below represents an unfolded paper Kabuto a Samurai warriors helmet which of the following are pairs of congruent segments

Answer 1

In general, two congruent segments have the same measure. Since no more information about the figure is given, we would need to estimate the measurement of each of its segments.

A) Notice that

`\begin{gathered} FR=RN \\ and \\ RN=RT+TN \\ \Rightarrow FR=RT+TN \\ \Rightarrow FR\\e TR \end{gathered}`

B)

`\begin{gathered} BC=PO=IJ=LM \\ \Rightarrow BC=PO \end{gathered}`

C)

`\begin{gathered} RI^2=RU^2+UI^2 \\ \Rightarrow RI\\e RU \end{gathered}`

D)

`\begin{gathered} RI=RM=RC=RO \\ \Rightarrow RI=RM \end{gathered}`

E)

`\begin{gathered} IK=MK=CA=AO \\ \Rightarrow IK=MK \end{gathered}`

Thus, the answers are options B, D, and E.