Based on triangulation of polygons, prove that copies of a regular n- gon can tile the plane only for n= 3,4 , and 6.

Q: b

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Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

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Q: Let a = C(7, 4), b = C(7, 5), c = C(7, 6), and d = C(7, 7). If there are 7 points on the plane, no…

A: Solution

Q: There are only 12 such shapes that can be formed in the plane by joining five squares along their…

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Q: Verify that A + B and AB are upper triangular.

A: Given,    A=32-10-43000    and   B=6-32024003 Recall that, The square matrix is called upper…

Q: 2 Prove that a quadrilateral with the vertices A(-2,3), B(2,6), C(7,6) and D(3,3) is a rhombus. IB

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Q: The vertices of a square are located at (1,7), (5,3) (1,-1) and (-3,3). What is the approximate…

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Q: Find the area of the parallelogram whose vertices are: A(0,0,0) B(5,2,6) C(9,-1,6) D(4,-3,0)

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Q: let the vertices of a triangle be A(1,4)     B (4,7)        C(7,1) Calculate its area and height

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Q: Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0)…

A: The given points can be plotted as A(3,0,0) B(0,0,2) C(0,6,0)

Q: The vertices of a quadrilateral are G(4, - 1), O(0, 0), L(2, 6), and D(6, 5). Show that…

A: Given: The vertices of a quadrilateral GOLD          G4,-1O0,0L2,6D6,5…

Q: What is m<1 in this parallelogram?

A: Solution of the problem as follows

Q: The white square in the drawing below is located in the centre of the grey rectangle and has a…

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