3
AssignmentMultiple Select

Congruent and Similar Triangles in the Coordinate Plane

Question 3 • (OC27) MATH COLL LIB ARTS-1207350-S1-Maguire-D'Aquino

Which regular polygons could be used to make regular and semi-regular tessellations? Check all that apply.equilateral trianglesquareregular pentagonregular hexagonregular octagonregular nonagonregular dodecagon

Answer
A
equilateral triangle
B
square
C
regular pentagon
D
regular hexagon
E
regular octagon
F
regular nonagon
G
regular dodecagon

Explanation

Equilateral triangles, squares, and regular hexagons each make a regular tessellation by themselves. Regular octagons can be used with squares in a semi-regular tessellation, and regular dodecagons can be used with equilateral triangles. Regular pentagons and nonagons do not fit into a regular or semi-regular tessellation because their interior angles cannot combine with the angles of other regular polygons to make exactly 360° at each vertex.

AI-written and checked against the verified answer.

Previous
Next