Question

Hexagon is a regular hexagon with all sides and angles congruent. list all sets of congruent triangles with vertices that are also vertices of the hexagon and list all sets of congruent quadrilaterals with vertices that are also vertices of the hexagon

Answer 1

It is given that,

Hexagon is a regular hexagon with all sides and angles congruent.

Frist, to list all sets of congruent triangles with vertices that are also vertices of the hexagon:

$\Delta\text{ABC, }\Delta\text{BCD, }\Delta\text{CDE, }\Delta DEF,\Delta\text{EFA, }\Delta FAB$

And

$\Delta ACE,\Delta\text{BDF}$

Next, to list all sets of congruent quadrilaterals with vertices that are also vertices of the hexagon:

$\text{ABDE, BCEF, CDFA}$

And,

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