Do the points (-1,1) ( -3,5)and (0,8)form a right triangle?

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: What are the rectangular coordinates of the point (3, 270 degree )?

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Q: Find the distance from point (3, -9, 8) to x = -7. Answer:

A: topic- distance distance of point (3,-9,8)  to x=-7 is 10

Q: What are the steps involved to plot a point in a rectangular coordinate system?

A: In a rectangular coordinate system there are four quadrants, two mutually perpendicular lines namely…

Q: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

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Q: The midpoint between the points (6, -7, -2) and(-2, 1, 4) is

A: The solution of the problem is given in the next step.

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: The midpoint of AB is (-1,5) and the coordinates of point A are (-3,2). What are the coordinates of…

A: Given: The mid‐point of AB is -1, 5 and the coordinates of point A are -3, 2. To Find: The…

Q: For AB, point A has coordinates (3, -5) and point B has coordinates (-1, 9). What are the…

A: Consider the given coordinates of point A is 3 , -5 and the coordinates of point B is -1 , 9

Q: What are the coordinates for point B and point C?

A: The initial coordinates are: They are first translated to the right by 9 units which is along…

Q: Find the distance between the points (17,-13) and (9,-17) Distance =

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Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: Give the rectangular coordinates for the point. (8, 225°) O (-42, -42) O (-4T, -4T) (42, 42) O (-43,…

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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Q: Find the distance between points A (-2,6) and B (4,-3)

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Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

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Q: What is the distance between the points (1,-2) and (-6,3)

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Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

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

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: Find the distance between the points. 2 (3, 3), (3, -1) 2 units

A: To find the distance between given to points.

Q: Determine

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Q: Plot the points (5, 5), (−2, 0), (−3, 6), (−1, −7) in the Cartesian Plane.

A: A point x,y on the cartesian plane represents that the distance of the point from y-axis is x and…

Q: Use slopes to show that the triangle whose vertices are ( - 2, 5), (1, 3), and      ( - 1, 0) is a…

A: Let, (x1, y1) = (-2, 5), (x2, y2) = (1, 3), and (x3, y3) = (-1, 0)

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: A right triangle with a right angle of (-3, 2) and one of its legs satisfies the equation…

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Q: What is the area of a triangle with the vertices at (-1, 2), (-5, 0), and (-1, -2)

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Q: -20 -10 -20- 10- --10- -20- -30- (0, -16) 10 20

A: The distance between the points x1,y1 and x2,y2 is given by the distance formula: (x2-x1)2+(y2-y1)2…

Q: Find the distance between the points (-2,-3) and (1,-7)

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Q: distance

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Q: triangle

A: Given are the coordinates of vertices of triangle as -1,1, 5,-1 and 4,3 Query is to find the angles…

Q: find the equation of  the perpendicular biceptor of the segment joining (4,2) and (-2, 6).

A: Let ( x1,y1) and ( x2,y2) be (4,2) and (-2,6) respectively

Q: what is the distance between points (12, -2) and (6, -2)

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: Plot the points (4, 2), (-5, 4), (-4, -3) and (6, -4) in the Cartesian plane.

A: Coordinates (x,y) represent 'x' units from origin in left or right direction depending upon the sign…

Q: Give the rectangular coordinates for the point. (8, 225°) (-42, -42) (-47t, -4T) (42, 42) O (-45,…

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Q: Find the distance between the points (0,-1.4) and (2,0.8) Distance

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Q: What is the distance between points (-6,-9 ) and ( 3,3) on the coordinate plane?

A: A cartesian plane is a plane that involves the cartesian axis, i.e. x and y-axis. A coordinate plane…

Q: Please solve and show your work

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Q: Find axis of symmetry

A: The axis of the symmetry is the axis about which the figure is symmetric. The shape of the figure is…

Q: When the coordinates of two points are (x , y ) and (x, -y) what line symmetry do the points share?…

A: We know for two points,  i) (x, y) and (x, - y) has x axis as line of symmetry.  ii) (x, y) and (-…

Q: . What are the coordinates of point D?

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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: Do the three points (1, 1, 1), (2, 3, 2), and (5, 0, -1) form a right triangle?

A: Given: The three points (1, 1, 1),  (2, 3, 2) and (5, 0, -1). To find: The given three points are…

Q: 4. Triangle XIZ with vertices X(3,-2). I(6, 1), and Z(5, -7): 180

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Q: What is the distance between the point (-2, 5, 3) and the z-axis?

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Q: Find the distance between the pair of points. (3, -7) and (7, -1)

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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.