Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is isosceles. D(-3, 3), E(-1, 1), F(1, –4), G(–3, 0)

Q: Which of the following is a three-point geometry? 3.1

A: To find which of the given figure is three point geometry .

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

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Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

Q: The vertices of a quadrilateral are listed below. E(6,6), F(10,3), G(6,0), H(2,3) Which of the…

A: Let us check as shown below

Q: 3. ABCD is a rhombus; find the following:

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Q: D (2, 2), E (4, 5), F (10, 6), and G (8, 3)

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Q: For proving the theorem "The midpoint of the hypotenuse of a right triangle is equidistant from all…

A: It is possible to prove the theorem for any triangle whatsoever, but from the point of view of this…

Q: the Salid Find the voloume of ounded by the and grine CoOr dinate Planes a C

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Q: Prove that the figure with the coordinates given is a trapezoid. Is it an Isosceles Trapezoid too?…

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Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

Q: The coordinates of the vertices of AABC are A(0, 0), B(6, 2) and C(2, – 4). What are the coordinates…

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Q: The quadrilateral ABCD has vertices A(-4, -3), B(-3, 2), C(2, 4), and D(4, -3).  Find the perimeter…

A: We will find the perimeter by simply making use of the formula to find distance between two points…

Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: A square (say C) is formed through the vertices z= 0, z=1, z =1+i and z=i, then evaluate ze dz .

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

Q: Quadrilateral EFGH has the vertices E(0, 0), F(a, 0), G(a + b, c), and H(2b, 2c). Verify that EFGH…

A: Given, EFGH is a quadrilateral which has vertices E(0,0), F(a,0), G(a+b,c) and H(2b,2c)

Q: A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1). Which of the following is…

A: Check the given vertices forms a square or parallelogram,..

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

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Q: For the convex set C = {(z,9)+ 13 y.0 < 2.0 < y } (a) Which points are vertices of C? (52/9,35/9)…

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Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3), C(5, 6), and D(2, 1): (x, y)- (x+2, y-6)

A: In Rhombus, A=(-3,-2)B=(0,3)C=(5,6)D=(2,1)

Q: The vertices of ZBG are Z(7,9), B(4,5), and G(11,6) a. Find the coordinates of the midpoints P,Q,…

A: Given: Z=(7,9), B=(4,5)    and    G=(11,6)

Q: (d) Latus rectum is the segment joining (1, 4) and (7, 4) passing through the point (e) Contains the…

A: We will find axis of parabola and vertex to find equation of parabola

Q: Example Give quadrilateral ABCD with verticesA(4, 7), B(8, 3), C(6,-1), andD(0, 5). Prove: ABCD is a…

A: Given : Quadrilateral ABCD with vertices A(4,7),B(8,3),C(6,-1) and D(0,5). So, Graph is :

Q: Sketch the rectangle in the coordinate plane whose vertices are (3, 5), (5, 5), (3, 1), and (5, 1).…

A: We know that,  Area of rectangle = length * Width Perimeter of rectangle = 2(length + width)

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1   ;   point (2,1,2)

Q: What are the coordinates of the point on the directed line segment from (1,-5) to (10, 1) that…

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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: Find the area of the triangle with the given vertices. Hint: -||u x v|| is the area of the triangle…

A: In this question we have to find the area of the triangle.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, -2,…

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Q: The coordinates of the vertices of a triangle are G(-4, 2), O(5, -1), and T(10, 8). What is the…

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Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of…

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Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this…

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Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: The vertices of triangle TUV are T=(4, 4) U=(-4, 0) V=(-2, 2)   Scale factor is 2. Centre is origin.

Q: What will be the new coordinates of the triangle with vertices A(0,1),B(1,2) and C(1,0) when : i) it…

A: given coordinates of a traingle ABC A(0,1),B(1,2) and C(1,0) what will be the new coordinates of…

Q: 1. On a coordinate plane, DEF has vertices D(1, 2), E(7, 2) and F(1, 9). What is the distance…

A: Since, distance bewteen two points is given by:-d=x2-x12+y2-y12

Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

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Q: Determine Q C-6, 1) equilateral iif the triangle R Cl;8) IsOScalene with vertIces PCS;3) ISD SceleS…

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Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: Consider a rectangular box below A (2,3, 5) 1.2 Find the length of the diagonal of the box…

A: O= (0,0,0) A=(2,3,5)

Q: If the vertices of a polygon in counterclockwise order, are ( x1, y1 ) , ( x2, y2 ) , ... , ( xn, yn…

A: Here we use the formula for find the area of the triangle

Q: 5 Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image…

A: see 2nd step

Q: To begin this lesson, get a piece of clean paper, preferably a clean short bond paper. Estimate the…

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Q: 3. The coordinates of the vertices of quadrilateral DIAN are D(00,5), I(3,6), A(4,3), and N(1.2).…

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Q: ABCD is a rhombus with diagonals that intersect at F. Find the mZADC, if MZABD = 2x + 3 and mZDBC =…

A: It is given that ABCD is a rhombus and m∠ABD=2x+3,m∠DBC=4x-1. Sketch the rhombus as follows:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Find the coordinates of point L on the triangle below after a translation using the rule: (z, y) – >…

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Q: (a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric…

A: Condider the figure: The circuncenter G. If R is the circumradius, the coordinates of G…

Q: The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1, -1). It pentagon…

A: The vertices of Pentagon PQRST are P(0,1), Q(2,2), R(5,3), S(4,0) and T(1,-1). If the Pentagon PQRST…

Q: 7. Trapezoid QRST with vertices Q(2, 1), R(2, 5), S(4, 5), and T(8, 1): 90° clockwise R'(__ S' (_ T'…

A: I have taken Q as fixed and rotated with respect to Q

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: Given T4,4, U-4,0 and V-2,2dilation with scale factor of 2 centred at origin

Q: (a) If C is the line segment connecting the point (x,, y,) to the point (x,, Y½), find the…

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