show that the points ACI,I,4), B(2,2,2), c (o,1,5) and D(1,0,5) coplanear (in the ave Same plane).

Q: 9. DABCD is a convex quadrilateral. Let P, Q, R, S be centers of the squares drawn (externally to…

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Q: The sides of ABCD are not all the same length, and ABCD is a planefigure. ABCD is a square or a…

A: The sides of ABCD are not all the same length, and ABCD is a planefigure. we have to find ABCD is…

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: Prove that the points M(2, 5), N(12, 3), and O(10, 11) are the vertices of a right triangle

A: Given the points

Q: Prove Show that ABCD is a trapezoid. А(-1, 1), В(2, 3), С (3, 1), D(-3, -3) m q, 2 A -4 4. 3. 2.

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Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Find if the figure is an isosceles trapezoid and find all the 4 slopes.

Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

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Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: 1. The vertices of quadrilateral ABCD are A(-2,3), B(4,6), C(10,3), and D(0,-2). Use coordinate…

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Q: Prove that C is on the perpendicular bisector of segment AB.

A: Consider the given vertices A-3,2, B5,-4, and C7,7. If C is on the perpendicular bisector of AB,…

Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto d) and SProjd onto b). Resolve a into…

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Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

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Q: アon) usweris X10 बप्कणs In the ry-plane, what is the perimeter of an equilateral triangle with one…

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Q: Prove that ABCD with vertices 4(-1,3), B(-4,-1), C(1,-1), and D(4,3) is a rhombus assuming it is…

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Q: . Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

A: Let X be the mid-point of EF Construct the median DX. Since G is the centroid, G is on DX by the…

Q: 7. If the coordinates of quadrilateral ABCD are A(3, 5), B(7, 6), C(6, 2) and D(2, 1), proveABCD is…

A: Given: Quadrilateral ABCD with vertices A(3,5), B(7,6), C(6,2), D(2,1)

Q: In an Argand plane, a O straight line O point O circle

A: The given complex number is z=16 z=16x+iy=16+i0

Q: Find the area of the trianlge with vertices P(1,0,1), Q(-2,1,3) and R(4,2,5). Show your work. 5.

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Q: Find an eguaton for the set of all points (a sy, z) equiditant fom point (1,0,2) and

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Q: Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4),…

A: Given:In trapezoid RUIZR≡1,4U≡-2,0I≡7,0Z≡3,4To find:Perimeter of RUIZ

Q: Let R= (1,5). Calculate the length of OR. %3D

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Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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Q: The vertices of quadrilateral KAIT are K(0,0), A(a, 0), I(a + b, c), and T(b, c). Use coordinate…

A: Parallelogram is a kind of quadrilateral with two pairs of opposite sides. In a parallelogram, the…

Q: What additional point is on plane RST? O R

A: Topic:- geometry

Q: Is the set S= {I E R² | e21+2=2 >1} convex? %3D

A:

Q: Let points A, B, C, and D in R3 have respective coordi- nates (1, 2, 3), (−2, 3, 5), (0, 3, 6), and…

A: A1, 2, 3, B-2, 3, 5, C0, 3, 6  &  D3, 2, 4. Now,…

Q: Which rule maps quadrilateral WXYZ to c O (z, y) - > (x + 5, y –6) O (z, y) – > (x – 6, y + 5) O (z,…

A: From the figure  Coordinates of   W' =  (-5 , 6)  Coordinates of   W =  (1 , 1)    Coordinates of…

Q: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given…

A: Given,          The coordinates of point P along the directed line segment AB so that AP to PB is…

Q: Evaluate O ry*da + x°dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5)

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Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: Suppose that four lines in a given plane a1, a2, b1. bz are given, with the conditions (also given)…

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Q: Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is…

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Q: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

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Q: let u= compute a) d.) angle betwen u and V

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Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Given: The vertices as W1,4, X1,8, Y-3,9, Z-3,3, To show: WXYZ is a trapezoid, To determine: Whether…

Q: The plane containing Q, S, A, U appears to be parallelto the plane containing which points?a. Q, E,…

A: The Parallel Plane: The Parallel planes are two planes that do not intersect. Since, this is cuboid.…

Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: If A, B, C, and D are collinear, then they lie in the same plane. A, B, C, and D lie in the same…

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Q: The distance from (7,-8, 5) to yZ-plane is OA. 138 O B. 5 OC.8 OD. 89 O E. 7

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Q: Show that if tx, ty and t, are triangular numbers, then show that t, = ty + tz, where n(n+1) x = y =…

A: We are given three triangular numbers : tx , ty , tz  And we have to show that : tx = ty + tz Where…

Q: What point divides the directed line segment AB into a 2:3 4. ratio? 3- -2- 456 89 10 11 12 13 14 15…

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Q: *15. What is the name for the point on the coordinate plane that has the (Inv. 7) coordinates (0,…

A: The given point is: (0, 0)

Q: If there are 9 distinct points on a plane, no 3 of which are collinear, how many quadrilaterals can…

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Q: Show that the points E(2, 2, 2), F(2, 0, 1), G(4, 1, -1) and H(4, 3, 0) are coplanar and that they…

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Q: Determine las primeras derivadas parciales de la función en el punto (1,2) (u, v) = z*y - 3yA O(1,2)…

A: Find the first partial derivatives of the function at the point (1,2) f(x,y) = x2y-3y4

Q: 7. What additional piece is needed to prove JMLK is a rhombus ?

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Q: A quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: Justin sketched trapezoid BALI on a coordinate plane. BALI has vertices located at B(1,4), A(-2,0),…

A: