Queshion: Consider a dihedral grouf Duz La,b:a" bs cab)'si> find all the Conjugacy classes of Dy- Civen the detaile of your work?

Q: 4. Give a geometric description of each family of planes.

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Q: cube of edge 4 is in cut by a plane containing two teo diagonally opposite edges of the cube. Find…

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Q: 3.4. Prove that every triangulation of a polygon P that uses only the vertices of P is regular. Give…

A: By the form that, every polygon with n vertices can be the triangulated into exactly n-2 triangles’.…

Q: Estimate the space of the paper in such a way that you can put a 5 x 5 square lattice. On that 5 x 5…

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Q: Label the following statement as either true or false. The regular hexagon possesses both rotational…

A: To find: The regular hexagon possesses both rotational and reflective symmetry…

Q: Convert the cylineleical.coordihate to an quation eguation in rectangulde form

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Q: What is "Eight Way Symmetry' of a cırcle? How does it help in minimızıng the calculations for…

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Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can…

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Q: How many reflectional symmetries does a cube have?

A: To find reflections symmetries of a cube.

Q: Give an example of a connected polyhedron with Euler characteristic 0. What is the boundary of your…

A: We have to give an example of a connected polyhedron with Euler characyeristic 0 and also we have to…

Q: Use Theorem 14.2.3 to determine the number of nonequivalent colorings of the corners of a triangle…

A: According to the given information it is required to determine the number of non-equivalent…

Q: 5) How many symmetries (number of each type line, rotation ..) does a regular hexagon have? Explain.

A: Given,

Q: The vertices of a triongle are represented in Argand diagram by the complex mbers z, 2, Interpret…

A: Consider the following diagram for the given triangle in Argand diagram: The complex numbers can be…

Q: does a 12-sided co

A: Here we have to find the number of diagonals of a 12-sided convex polygon.

Q: Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.

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Q: How many planes are shown in the figure? *

A: Given geometry is hexagon prism. Hexagon is a regular polygon made up of six edges. When the edges…

Q: Every n-gonal pyramid has n + 1 lateral edges. Is the statement true or false..

A: Solve

Q: Sketch a model atleast 2 axioms of Pappus's Geometry and identify those axioms

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Q: Which of the following isometric cube drawings demonstrates the result when a cube is added to each…

A: Given query is to find the the resultant figure when a cube is added to the shaded figure.

Q: Which theorem shows that △ABC ≅ △DEF? The triangles are not congruent. SAS Triangle Congruence…

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Q: Every three dimensional solid can also be called a polyhedron. O True O False

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Q: Define the Cartesian product of sets X and Y? How is this Cartesian product denoted?

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Q: ASA Congruence Theorem 2.

A: 2-Given-  To Find- The additional pair of corresponding parts must be congruent to prove that the…

Q: A pentagonal pyramidal number P can be determined using the dot representations of pentagonal…

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Q: Find the number of triangles that can be formed using 14 points in a plane, such that 4 points are…

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Q: Following the example on symmetries of the equilateral triangle from the written notes, list all the…

A: The given symmetries of equilateral triangle is given below:…

Q: For a convex polyhedron Hif all faces are regular polygons, then Hmay be irregular polyhedron

A: Given that: For a convex polyhedron H, if all faces are regular polygons, then H may beirregular…

Q: Using intermediate Jalue theorem, the Pont functiun Pin) - -xs_0,5 has a soot 2²-0,5 has a rost Over…

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Q: 4) Consider three-dimensional Euclidcan space R with the usual Euclidean distance, definition of…

A: This is a problem of non-euclidean geometry, euclidian postulate.

Q: Describe one characteristic of the perpendicular bisector in the figure below. in

A: Here the ray nM is the perpendicular bisector on the line PQ. Where, Angle nMQ and angle nMP are 90°

Q: What are the properties of platonic solids is not present in other polyhedra? Explain your answer.

A: What are the properties of platonic solids is not present in other polyhedra? Explain your answer.

Q: Prove that congruence of angles is an equivalence relation. Hint: Refer to the proof for congruence…

A: Two angles are said to be congruent if they are equal in magnitude.

Q: What information could not be used to prove the congruence of the triangles using the SAS Congruence…

A: in given triangle  AC=DFAB=DEm∠A=m∠DTherefore△ABC≅△DEF

Q: A tessellation is an arrangement of repeating shapes that have what characteristic? A. Its pieces…

A: We will find which option is correct as following.

Q: 5. B. CR LA Congruence Theorem

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Q: Are points 3, 4+3j, 6-j vertices (points of a shape) of a right triangle? Check this by using…

A: If lengths of sides of a triangle satisfies Pythagoras theorem.then the triangle is right angled…

Q: Look at the triangulation of convex polygons again. Prove following statements: Any triangulation…

A: In the question we have to prove that any triangulation of a convex n-polygon subdivides it into n -…

Q: 16. Classify the tessellation as regular, semiregular, or neither. a. regular b. semiregular neither…

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Q: A transformation that is a composition of isometries is also an isometry. O True False

A: A transformation that is composition of isometries is also an isometry - Let,    (X1, d1), (X2, d2),…

Q: 3. Show that a triangle with vertices (3, 7), (-1, 3), and (1, 9) is a right-angled triangle. Find…

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Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 8 faces: 2 hexagons and…

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Q: 16. Jamal will slice a cylinder into two congruent pieces. Which two-dimensional plane sections…

A: follow next step

Q: A HL Congruence Theorem

A: HL congruence theorem stands for hypotenuse leg congruence theorem. Triangles △ANS and ∆WNS are two…

Q: 10 Al makes a diagram of a semicircular window as shown. -71 in

A: Solution of the problem as follows

Q: suppose X=IR with absolute %3D Value meter : Get A' and A and A° For the Yollowing set: A = : m,n EN

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Q: Consider a pentagon P with 100 points in the interior of P. Let T be a triangulation of P with…

A: Given that P is a pentagon with 100 points in the interior of P. T be a triangulation of P with…

Q: An integer point is a point on the xy-plane with both coordinates integer. Given a convex pentagon…

A: Hint:  using the concept of convex

Q: Rectangle ABCD is in the coordinate plane. Which of the ollowing is a valid definition of a…

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Q: 3. Classify all geometries of order 6 up to isomorphism. Indicate how many points and lines cach…

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Q: Consider an n-sided convex polygon. Prove that the sum of the interior angles of an n-sided convex…

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