Starting with a cube with edges of length 2, the corners are cut-off to form a cuboctahe-dron. To do this, the cuts pass through the mid-points of the edges of the cube. What is the distance between the parallel triangular faces of this cuboctahedron?

Q: In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯.Which of the following can be…

A: Introduction: Congruency is a very significant property of a triangle. Two triangles are referred to…

Q: From the choices given, what kind of symmetry does the regular polygon below have?

A: From the data: The given regular polygon is Pentagon

Q: For each of the following polyhedrons, determine how many vertices, edges, and faces the polyhedron…

A: (a). Regular square prism  V= 8         E=12           F=6 (b) Oblique octagonal prism V=16    E=24…

Q: Is there a regular polygon with 12 diagonals? If so, how many sides does it have?

A: Given The number of  diagonals of a regular polygon is 12 . Then, the number of sides of polygon…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

Q: The quadrilateral ABCD is inseribed in the eircle centered at the point o. B(2y)°

A: Given that the quadrilateral ABCD is inscribed in the circle centred at the point O.

Q: 3. If the points shown on the coordinate plane below form the vertices of a polygon, what type of…

A: we will check  the type of polygon  from the given graph.

Q: A square pyramid is on top of a square prism.Their bases are congruent.How many faces,vertices,and…

A: We have a square pyramid on top of a square prism. Now, a square pyramid has 5 faces, 8 edges and 5…

Q: Given the following regular polygon, how many lines of symmetry does the object have? O 3 O 1 O…

A: Given. We have been given a regular hexagon. Regular figure have all sides and all angles of the…

Q: Prove that if the Fermat-Torricelli with the orthocenter, then ABC is equilateral. point of an acute…

A: To prove that if the fermat-torricelli point of an acute triangle ABC coincides with the…

Q: If a polygon is regular then all the sides of the polygon are congruent

A: A polygon is a plane shape enclosed by a finite number of straight-line segments. If all the line…

Q: . A six-sided regular polygon is inscribed in a circle of radius 10 cm, find the length of one side…

A:

Q: does a 12-sided co

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

Q: Find the length of the apothem drawn to one of the 6-in. sides of a regular pentagon.

A: Given,  6 inches sides of a regular pentagon   Formula:-   Length of an apothem a = s2 tan 180n a =…

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A: SOLUTION: Let ∠DCA=θ; tanθ=18/24=3/4 AC=18^2+24^2=30 Length of crease = AC*tanθ=30*(3/4)=22.5…

Q: What type of polygon must have a diagonal such that at least part of the diagonal falls in the…

A: It is known that, a quadrilateral is a plane figure that is made up of four line segments closing in…

Q: segments joining the center of circular faces is

A: Given that  In a right circular cylinder, the line segments joining the center of circular faces is…

Q: A business named Beyond Boxes is considering adding a box in the shape of a triangular prism as…

A: We have to calculate the amount of cardboard needed to make the given prism

Q: For a regular hexahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given: regular hexahedron To find :  Number of faces,…

Q: A quadrilateral has diagonals of lengths 8 and 10. The midpoints of the sides of this figure are…

A:

Q: For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given- A regular tetrahedron. To find- The number of faces , vertices and edges and then verify the…

Q: 1. Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS =…

A: Draw the diagram and use the property of isosceles trapezoid.

Q: the base edges of a frustum of a regular square pyramid are 4.9 in. and 8.3 in. and its lateral…

A: Let's find.

Q: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: a) Are any two regular pentagons similar? b) Are any two equiangular pentagons similar?

A: part a) Are any two regular pentagon similar?

Q: A prism with bases that are not aligned one directly above the other and lateral faces that are all…

A:

Q: Given six non-collinear, coplanar points, how many triangles can be formed using these points?…

A: Since, we have been given six non-collinear , coplanar points,Our Aim is to tell how many triangles…

Q: The dimensions of a godown are 40 m ,  25 m ,and 10 m .If it is filled with cuboidal boxes…

A:

Q: Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the…

A: Since, we know that each edge of a tetrahedron is congruent to its opposite edge.

Q: If the lengths of the diagonals of a parallelogram are congruent, then you can prove it is a square…

A: Consider a parallelogram PQRS with diagonals PR and QS  congruent i.e.  Diagonals PR and QS  are…

Q: Consider the following pyramid with square base formed by the four points (1, 1,0), (1, –1,0),…

A:

Q: Here is a triangular prism.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In the triangles PQR and STU, ZRPQ = 2 × ZUST, ZPRQ = 2 × ZSUT and ZRQP = = x LUTS. %3D %3D How…

A: Given that in triangle PQR and STU, ∠RPQ=2×∠UST,              (1)∠PRQ=2×∠SUT,…

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as Trapezoid…

A: Given that : A quadrilateral with exactly one pair of opposite sides parallel is classified as

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: 8 edges: vertices: 6

A: Euler's formula is: F+V=E+2

Q: A rhombus has sides of length 100 centimeters, and the angle at one of the vertices is 70°.…

A: Given the rhombus of side length 100cm and the angle at one of the vertices is 70 degree. We need to…

Q: What polygon is formed by the intersection of plane N and the octagonal prism shown?

A: Here the intersection is formed by the plane N and octagonal prism. Polygon formed is just an…

Q: How many planes of symmetry does a polyhedron with 2 square bases and eight isosceles triangle…

A:

Q: An apothem of a regular polygon is perpendicular to one of its sides. true or false?

A: To find- An apothem of a regular polygon is perpendicular to one of its sides.

Q: Suppose a triangle with the vertices (–1, 4), (–1, –2), and (2, –2) were dilated, with the center of…

A: Given  The triangle with the vertices (–1, 4), (–1, –2), and (2, –2) . Scale factor is 2 Dilation is…

Q: What additional information would be necessary to prove that the two triangles, triangle XBY and…

A: Given:

Q: Explain how many vertices, edges, and faces the polyhedron have. Does it verify Euler's Formula?

A:

Q: Proof must be a paragraph proof   Thanks

A:

Q: what is a solid figure of which the base is a polygon and the other faces are triangles with a…

A: Answer:  Pyramid.   A pyramid is a polyhedron whose base is a polygon of any number of sides and…

Q: Given a rhombicuboctahedron with 4/2 as the diagonal length of a square face, the sum of the areas…

A:

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…