Three different parallelograms have vertices at (-1, 1), (2, 0), and (2, 3). Sketch them and find the coordinates of the fourth vertex of each.

Q: A point on the a-axis that is equidistant from the points (9, – 6) |(- 8, 6) is and

A: the given points are .................first point .................second point now the third point…

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: How many lines of symmetry does this shape have?

A: The lines of symmetry for the shape is

Q: You were asked to find the perimeter of the triangle whose vertices are the specified points in the…

A: We have to find perimeter of triangle

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: Find the perimeter of the parallelogram with these vertices. (5, 6), (-2, 1), (5, 1), (–2, –4) Give…

A: Perimeter of parallelogram is sum of length of each sides.

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: 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: The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the…

A: To Determine: find the values of x and y. Given: We have the coordinates of the circumcentre of the…

Q: A parallelogram has point symmetry about the point where its two diagonals intersect.

A: Given query is to find that given statement is true or false.

Q: Let A = (1,2, 3), B (3,7,9), and D = (-2,3,–1). Find coordinates for vertex C of parallelogram ABCD.…

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Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

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

A: Given points are A(2,3), B(5,-1), C(0,-6), D(-6,2)

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: Graph the points A(-5, 0), 5(3, 2), C(5, 6), and D(-3, 4). Then showthat ABCD is a parallelogram by…

A: Given  The points A(-5, 0), 5(3, 2), C(5, 6), and D(-3, 4) , and  ABCD is a quadrilateral .

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: 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: How many lines of symmetry are in this figure?

A: There are 6 lines of symmetry are in this figure.

Q: How many lines of symmetry does the figure below have?

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

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

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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: A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis.…

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

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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: A parallelogram has line symmetry and either diagonal is an axis of symmetry.

A: Statement - A parallelogram has line symmetry and either diagonal is an axis symmetry.   Consider a…

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

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

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: Plot the quadrilateral after being rotated 180°. Label the vertices of the image. L St -М

A: Basic coordinate geometry problem

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: 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 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: 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: 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: 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: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: How many lines of symmetry is in the figure?

A: Given:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

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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: If A(-2,4) and B(6,6) are two given points, then the coordinates of M midpoint of the line segment…

A: Given a line segment with two end point coordinates as A(-2, 4) and B(6, 6). We have to find the…

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…