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

Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: Show that the points (2, −1), (5, 5), and (6, −3) are vertices of a right triangle.

A: The given points are (2,-1), (5,5) and (6,-3)

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: Draw all of the lines of symmetry on the shape.

A: The line of the fold is the line of symmetry. Figures or shapes that have exact resemblance to its…

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: Use slopes to show that the quadrilateral with vertices at (1, 3), (-5/2, 2), (-7/2, 4), and (2, 1)…

A: Given that Vertices of quadrilateral are A1, 3, B-72, 4, C-52, 2 and D2, 1   It is known that the…

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

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

A: Nature of triangle is isoscelene

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

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Q: Find the midpoints of the legs, then the length of the median of the trapezoid with vertices C(-4,…

A: Solution: Consider the given that vertices of trapezoid is C (-4, -3), D(-1, 4), E(4, 4), and F(7,…

Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Find the perimeter of the quadrilateral with vertices P (-3, 0), Q (-8, -5), R (-3, –10), and S (1,…

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Q: Given the points F(8,4) and G(-7,-6) what are the coordinates of the point that partitions the…

A: Given that points are F8,4 and G−7,−6. We have to find the coordinates of the point that partitions…

Q: Is the triangle with vertices A(7,3) , B (0,6) and C (-6,-8) a right triangle?

A: First we use distance formula and find the length of each side .

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: Graph the image of parallelogram TUVW after a reflection across the line y = -2. 10 8. 4 2 -10 -8 -4…

A: We have to graph the image of parallelogram TUVW after a reflection across the line y=-2.

Q: Give the location of Paris as an ordered pair (x, y).

A: As shown in the figure above, Point A lies in the first quadrant, so coordinates will be A(a, b)…

Q: Find the coordinates of the intersection of the diagonals or Parallelogram PRYZ with given vertices.…

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Q: Find B if A is (-4,7) and the midpoint of the line segment AB is (0,1)

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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: the vertices of the triangle ABC arenA(-2,5) B(6,1) C(-2,3). Compute the length of median from…

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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: It is possible for two intersecting lines to be noncoplanar.

A: It is possible for two intersecting lines to be noncoplanar.

Q: Find the perimeter of a triangle with vertices S(4, 5), T(-2, -3), and W(5, - 4).

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

A: The vertices of the triangle are (-9,-5), (-6,1), (5,8)

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

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

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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: Show that the points A = ( - 2, 0), B = ( - 4, 4), and C = (8, 5) are the vertices of a right…

A: For two perpendicular lines with slopes m1,m2 it is true that m1m2=-1. So for the given points A,B,C…

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

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: 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 slopes of the sides of triangle with vertices (0, 3), (2, 0), and (6,-). Is that a right…

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Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Given the two points P1 (2,-3,4) and P2(-1,5,-2) on a line, find the line segment joining those…

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Q: Use slopes to show that the points are vertices of the specified polygon

A: Given points : A6,15, B11,12, C-1,-8, D-6,-5 The objective is to show that the given vertices are…

Q: What is the ordered pair for Point R?

A: Solution: The objective is to determine the ordered pair for Point R

Q: Find the lengths of the sides of a triangle whose vertices are at (2, 3), (5, -1), and (-4, -5).

A: To find the length of the sides of the triangle, the distance formula is used. According to the…

Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

A: Let the three parallel lines be l, m, n and the equilateral triangle be ABC.

Q: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a…

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other.…

Q: Give the location of Rome as an ordered pair (x, y).

A: Given plot is, We need to find the co-ordinates of x and y for Rome from the given plot.

Q: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

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