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Other than squares, the polygons that can be the faces of a Platonic solid are _____ and _____. Check all that apply.A.trapezoidsB.regular pentagonsC.equilateral trianglesD.regular hexagonsE.rectanglesF.circles

Question

Other than squares, the polygons that can be the faces of a Platonic solid are _____ and _____. Check all that apply.A.trapezoidsB.regular pentagonsC.equilateral trianglesD.regular hexagonsE.rectanglesF.circles

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Solution

The polygons that can be the faces of a Platonic solid, other than squares, are regular pentagons and equilateral triangles. So, the correct answers are B. regular pentagons and C. equilateral triangles.

Here's why:

A Platonic solid is a 3D shape where each face is the same regular polygon, and the same number of polygons meet at each vertex (corner). There are only five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

The tetrahedron, octahedron, and icosahedron all have equilateral triangles as their faces. The cube has squares as its faces. The dodecahedron has regular pentagons as its faces.

Trapezoids, regular hexagons, rectangles, and circles do not meet the criteria for the faces of a Platonic solid.

This problem has been solved

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