Verify that the points (4, 0), (12, 3), (7, 4) and (-1, 1) are vertices of a parallelogram.

Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

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Q: The coordinates of three of the vertices of parallelogram ABCD are A(1, 0), B(2, 3), C(3, 2). What…

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Q: Find a plane through the points (3,2,3), (4,-3,-3), (4,4,1)

A: The given points are: (3, 2, 3),  (4, -3, -3),  (4, 4, 1)

Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and…

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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 equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4)

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Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: Find the area of the parallelogram whose vertices are listed. (-1,0), (3,7), (7, –2), (11,5)

A: Consider the vertices of the parallelogram ABCD is A=-1,0,B=3,7,C=7,-2,D=11,5

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: Use slopes to show that the quadrilateral whose vertices are (1, - 1), (4, 1),   (2, 2), and (5, 4)…

A: Formula used: The slope of a line passing through the points x1,y1,x2,y2 is given by  m=y2-y1x2-x1.

Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: Locate the image of QUAD with vertices Q (-6,-5) U (-3,4) A (2, 3) D (3, -7) QHor the

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Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

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

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Q: Verify that the points are the vertices of a parallelogram, and then find its area. (1, 1, 1), (5,…

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Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

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Q: Find a plane through the points (2,-6,-1), (4,3,-4), (-3,-7,-8)

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Q: Show that the points (3,4), (-3,7), (-6,1) and (0,-2) for the vertices of a square

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Q: Use slopes to show that the square with vertices at (-2, 5), (4, 5), (4, -1), and (-2, -1) has…

A: Given that the four vertices of the square are: A4, 5 ,B-2, 5 ,C-2, -1 and D4, -1   If a line passes…

Q: Find the equation of the plane through (-1,6,2) and perpendicular to the join of (1,2,3) and…

A: We have to Find the equation of the plane through (-1,6,2) and perpendicular to the joining of…

Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,…

A: Given points of parallelogram QRSTQ-2,-1 , R-3,6 S1,5 T2,-2

Q: Choose the best selection for the quadrilateral with vertices at the following points. (-6,2),…

A: A(-6,2) B(-3,1) C(-4,-2) D(-7,-1)

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

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Q: If three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the…

A: Three corners P{1,1} ,Q{4,2} ,R{1,3} are given so three possible fourth corners are  A{4,4} B{4,0}…

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: Verify that parallelogram ABCD with vertices A(-5, – 1), B(-9, 6), C(-1, 5), and D(3, – 2) is a…

A: We can verify this as below using the diagonals.

Q: Show that A(-4, 2), B(1, 4), C(3, -1), and D(-2, -3) are vertices of a square.

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Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: Find a plane through the points (6,-2,-4), (1,-3,5), (2,6,-5)

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Q: Find the point of intersection of the diagonals of the rhombus with vertices (-1, 2), (3, 4), (5,…

A: We know that diagonals of rhombus are perpendicular bisector of each other. Therefore Midpoint of…

Q: Line AB is formed by the vertices A (1,2,-2) and B (-1,0,2) If C is the midpoint of AB, find AC^2

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Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: Find a plane through the points (-3,-1,-8), (-2,4,-7), (1,6,-4)

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Q: Find a plane through the points (3,4,-1), (-6,-7,-1), (8,1,6)

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Q: A rectangle has vertices at the points (0,0), (6,0), (6,4), and (0,4) on a coordinate plane as…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, when the figure rotated…

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: 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 parallelogram has 2 vertices (1,1) and (0,7) and their diagonals intersect at the point (4,3).…

A: Given:

Q: Find a plane through the points (4,3,3), (-4,-6,3), (1,-2,7)

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Q: Find a plane through the points (-1,5,-8), (-2,8,6), (1,8,-6)

A: The given points are: x1, y1, z1=-1, 5, -8 x2, y2, z2=-2, 8, 6 x3, y3, z3=1, 8, -6   Now the…

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).