Triangle ABC, represented by the coordinates (-1,5), (-1,1), and (-5,0) on the grid below, will be translated to form A A'B'C' so that Point B' is located at (5, 1). 7 5 3 -9 -8 -7 C-5 -4 -3 -2 -1 9 i 2 3 4 56 i 8 9 --2 --3

Q: Q1-)B-)Show that the following triangle whose vertices A(1, -1, 0), B(4, -3, 1) and C(2, -4,5) is a…

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Q: Find a plane through the points (1,-6,1), (-5,-2,3), (-4,5,-4). Write your answer in the form Ax +…

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Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: Triangle ABC is formed from the intersections of the three lines represented by these equations.…

A: length of sides

Q: a right triangle has coordinates (-3, 4) (3, 6) and (-1, -2). what is the area of the right…

A: Given:

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5),…

A: Consider the receiving stations:

Q: ned by vertices A (-2,4,2), B(4,10,12) and C(6,16

A: Here we have to find all angles of the triangle having vertices A (-2,4,2), B(4,10,12), and…

Q: Equilateral triange Ao B0C, is given. For every n, natural number, An, Bn, Cn are midpoints of sides…

A: Let's find percentage of triangle A0B0C0 that us shaded.

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

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Q: The coordinates of the center of the circle, where (4, 8) and (10, –8) are the end points of the…

A: We will find the coordinates of centre as following.

Q: Transform the triangle with the rule (х, у) —-(х+2,у-4) 10 -5- -10 -5 10 -5 -10 Transform the…

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Q: How can you say that the points (1,-5),(3,-2),(7,4) are collinear

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Q: Triangle MNO, with vertices M(2,-6), N(7,-8), and 0(4,-3), is drawn on the coordinate grid below. 2…

A: Given triangle with verticesM(2,-6),N(7,-8) and O(4,-3)(x1,y1)=(2,-6)(x2,y2)=(7,-8)(x3,y3)=(4,-3)

Q: ABCD is a quadrilateral with vertices A(-2,-1), B (-10,3), C-15,7) and D(-7,3). Find the midpoint of…

A: Given vertices: A (-2, -1), B (-10, 3), C (-15, 7) and D (-7, 3).  The midpoint for a line segment…

Q: A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is…

A: Given  A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6).

Q: Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are…

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Distance formula: let us assume two points be A (x1,y1)and B (x2,y2)the distance AB is given as…

Q: Find the equations of the line joining the points (5,4),(3,4) and (1,2). Find the area enclosed by…

A: Given: The points are (5,4),(3,4), and (1,2). To find: equation of the line joining the given…

Q: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

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Q: Quadrilateral ABCD with vertices A(-4, 1), B(-2,3), C(0,-2), and D(-5,-2) Give the coordinates of…

A: for scale factor of k (x,y)→(kx,ky)

Q: What is the best name for a quadrilateral at vertices (1, 4), (4, 0), (0, -3), and (-3, 1)? A.…

A: The coordinates of the quadrilateral are A(1, 4), B(4, 0), C(0, -3) and (D(-3, 1)

Q: The coordinates of quadrilateral MNOP are M (-1, -4), N (2, -2), O (5, -4), and P (2, -6). 10 8 2…

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Q: Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9)

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Q: Quad WXYZ has vertices W(-4,-3) , X(0,-1) , Y(6,-2), Z(2,-4). Using properties of diagonals WY and…

A: Coordinate Geometry Question

Q: You are planning a rectangular patio measuring 12 feet wide and 14 feet long with one edge running…

A: Properties of rectangle are Opposite sides are equal and parallel Diagonals are equal and bisect…

Q: Find the point on the plane −2 x+y−z =−9 that is closest to the point (3,−2,2) .

A: We have to find a point on the plane closest to another point.

Q: Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point…

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Q: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

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Q: Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has…

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Q: If point A has coordinates (3,5), point B has coordinates (3, 2) , and ABCD is a square, which of…

A: we have to find the coordinates of C using given data

Q: Line segment AB is drawn on the grid with endpoints at A (0,8) and B (6,0). Using a straightedge and…

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Q: Find equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

A: It is given that the plane passing through three points P2,4,5, Q1,5,7 and R-1,6,8. Equation of the…

Q: Imagine your eye is at (4,0,0). You are looking at a triangular plate whose vertices are at (2,0,2),…

A: Let the points be , let the line segment be be of the points A(1,0,0) and B(0,2,2). parametrize the…

Q: A "rotated" square is placed on a coordinate plane and two adjacent corners of the square are…

A: We will find the length of square as following.

Q: 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

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Q: 3) Find the plane through the points: A(2, 4, 5), B(1, 5, 7) and C(-1, 6, 8)?

A: Let the given points are:

Q: Two vertices of an equilateral triangle are located at (2,0)(2,0) and (−2,−3)(−2,−3). What is the…

A: ∴ AB=BC=AC ∴ all sides of an equilateral triangle are equal    To find:-  perimeter…

Q: Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y –4)

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

Q: 5. USI P;(2,2,0), P2(-1,0,2), P3(0,4,3) VE, find the area of the triangle determined by the points…

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Q: A triangle is formed by the vertices A(3, 2, -1), B(-2, 2, 3,) and C(1, 0, 2). Determine the area of…

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Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: Triangle ABC with vertices A(-10, -1), B(-4, 0), and C(-9, -6); 180° about K(-5, 2) KA(-5,-3) ->…

A: First we plot all the points A, B, C  and k on graph  Now we look at how many points A is away from…

Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

Q: One diagonal of a parallelogram has endpoints (4, 6) and (-3, -1) . Its other diagonal has endpoints…

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Q: Quadrilateral PSTU with P(-3, 5), S(2, 6), T(8, 1) and U(-6, -4): rotate 270° counterclockwise 4.…

A: Use the rotation properties to each points and write the final result.

Q: The two vertices of a triangle are (3, –6) and (9, -4). Find the ordinate of the third vertex so…

A: Dear Learner,We Expert are following bartleby expert guidelines to answer the question,so we can…

Q: Find the area of a triangle with the points A (-16, 8,-8B(-15, -1,0C (-1,-2,-12s it vertices by…

A: The area of the triangle with vertices A, B, C is given by: Area =12(A-C)×(B-C)...(1) The given…

Q: the point (8,-5) is 6 units above the point P(x,y) and 3 units to the right of it, then what are the…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.