The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the vertices A,B and C be (x,-9),(y,-2)and(-5,3) respectively , find the values of x and y.

Q: Let A (-23, 12), B (13,36), and C (23,-1) be vertices of a triangle. Where will the medians of this…

A: Given: vertices of the triangle              A=-23,12 , B=13,36 , C=23,-1To find: to find the co…

Q: find the orhtocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5).    please show…

A: We have to find the orthocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5) In the…

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

Q: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

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Q: Three different parallelograms have vertices at (-1, 1), (2, 0), and (2, 3). Sketch them and find…

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Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

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Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

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Q: 4. Find the coordinates of the vertices of a triangle knowing that the coordinates of the midpoints…

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Q: Show that A(3,0,2), B(4,3,0), and C(8,1,-1) are vertices of a right triangle. At which vertex is the…

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Q: Prove that the points represent the vertices of a parallelogram. You may use the method of your…

A: The given points are A-4,7, B3,0, C2,-5 and D-5,2. Note that, the distance between 2 points x1,y1…

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

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Q: Determine if the points X(-6,-4), Y(2,-2) and Z(0,5) form the vertices of a right triangle.

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Q: In the triangle with vertices (2, 0), (3, 2), (4, - 3), find the equations of the altitudes, and…

A: Let ABC be the △ with vertices A3,2 , B2,0 , C4,-3 and AD altitude of △ABC drawn from vertex A. Let…

Q: Graph the rhombus ABCD with A(-1,-1), B(0,2), C(3,3), D(2,0), and its image after translation . What…

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Q: The three vertices of a parallelogram taken in order are (-1,0).(3, 1) and (2, 2)respectively.Find…

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Q: . Three vertices of a parallelogram are shown on a coordinate plane below. (-4, –3) 6- 4+ (6, –1) A…

A: in question, three vertex of parallelogram is given we find out 4th vertext . we use the  properties…

Q: Verify that the points (0, 3), (2, -3), and (-4, -5) are vertices of an isosceles triangle.

A: Length of the side joining the points (0, 3) and (2, -3) is: l1=0-22+3+32=4+36=40=210 Length of the…

Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,6),…

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Q: Use the diagonals to determine whether the parallelogram with the given vertices is a rectangle,…

A: Given: P(-5, 2)Q(4, 5)R(6, -1)S(-3, -4)

Q: Decide whether or not the points are the vertices of a right triangle. (8,-4), (10, 0), (12, -1)

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Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

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Q: 10. Quadrilateral ABCD with vertices A(-4, -1) B(0, -2), C(-1, -6), and (-6, -3) in the y-axis. A'(…

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Q: The vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1). What are the vertices of the image…

A: Given, the vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1)

Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: Use slopes to decide whether the triangle with vertices at (6, 5). (- 3, 0), and (4, - 2) is a right…

A: Given : The vertex of the triangle are : 6, 5, -3, 0, and 4, -2 We have to use the slopes to decide…

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: 2. Determine whether the three points are vertices of a right triangle. P(-4, 3), Q(2, 5), R(-1, -6)

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Q: Find the angles of the triangle whose sides are x+y -4 = 0, 2x+y-6=0 and 5x+3y - 15 = 0.

A: Lines:x+y-4=0⇒y=4-x                      (1)2x+y-6=0⇒y=6-2x                  (2)5x+3y-15=0⇒y=153-53x…

Q: Show that the triangle whose vertices are A(-2, -3), B(4, 5), and C(-4, 1) is a right triangle.

A: Given:A-2,-3B4,5C-4,1Right triangle:AC2 =AB2+BC2

Q: The three vertices of a parallelogram taken in order are (-1, 0).(3, 1) and (2, 2)respectively.Find…

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Q: Find the interior angles of the triangle whose vertices are A (-3, -2), B (2, 5) and C (4, 2).

A: Vertices of the triangle are given.we will find the angle of the triangle.Below find the solution in…

Q: The coordinates of the vertices of a triangle are M (-4,1), A (3,3) and B (2,-3).

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Q: The _____ of a triangle intersect in a point that is equi-distant from the vertices of the triangle

A: The circumcenter of a triangle intersect in a point that is equidistant from the vertices of the…

Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: The sides of a triangle are defined by the equations x + 2y- 2 - 0, 2x - y- 4 = 0, and 3x + y + 9 =…

A: The sides of triangle are  x+2y-2=0.........(1)2x-y-4=0..........(2)3x+y+9=0..........(3)

Q: On a coordinate plane, the location of 3 points are: (0,6), (5,-4), and (-1,-5). Where would the…

A: Since the diagonals of a parallelogram bisect each other you can apply the mid-point formula to find…

Q: The points A(0,0),B(0,5)and C(12,0) are the vertices of a right triangle with 13 units as its…

A: A triangle in which one of the interior angles is 90 degree is called a right triangle. The longest…

Q: Verify that the points (-3, 1), (5, 7), and (8, 3) are vertices of a right triangle.

A: Two lines with slopes m1,m2 are perpendicular if m1m2=-1. For a right triangle, two sides are…

Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines

Q: plot the points (5, 3) and (2, -3) in the coordinate plane and find the lengths of the three…

A: GIVEN DATA : Points 5,3 2,-3        TO FIND: Plot the points and find the length of three segments…

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Find the lengths of the medians of the triangle with vertices at   A(4, 3, 1),  B(2, 1, 2) and…

A: Length of medians