Determine the type of quadrilateral described by set of vertices. Give reasons for your answers.  A)J(-5, 2), K(-1, 3), L(-2, -1), M(-6, -2)

Q: . Determine whether the polygons with the given vertices are similar. A(-4, 4), B(6, 4), C(6, -4),…

A: Two polygons are said to be similar if they have the same shape and the corresponding sides are…

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: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0,0),(1,3)…

A: Let the given quadrilateral be ABCD The vertices of the given quadrilateral are…

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

A: To show that the point A(1,4), B(6,-4), and C(-15,-6) are vertices of a right triangle. In order to…

Q: 1. Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3), C(0, -2), and D(-5, -2): k = 3 A'L B'( C'(L-…

A: We are given with the vertices of quadrilateral  and need to plot the graph.…

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: ABC has vertices at A(1,3) B(4,3) and C(4,-5). How would you find the circumcenter and orthocenter…

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Q: Determine if the points (-3,5), (-1,2) and (3,-4) No Yes are colinear. Show your work

A: yes .the given points are collinear. see 2nd step.

Q: The quadrilateral ABCD has vertices A(-4, -3), B(-3, 2), C(2, 4), and D(4, -3).  Find the perimeter…

A: We will find the perimeter by simply making use of the formula to find distance between two points…

Q: 2) What is the ordered pair for point H in parallelogram GHIJ?   a.) (a, c) b.) (a + c, b) c.) (a –…

A: We have to determine the ordered pair of the point H in the parallelogram GHIJ. We have to use the…

Q: What figure is formed when the points K(-2, 10), L(8, 8), M(6, 2), and N(-4, 4) are connected…

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Q: Square RSTU has vertices R(-3,4), S(8, 4), T(8, –7), and U(-3, -7). What is its perimeter?

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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: Suppose that ABCD is a parallelogram, and В 3 (-1,5), A = (-4, 1), C = (3,0), D = (a, -2) %3D What…

A: Consider the figure as follows we know that diagonals of parallelogram bisect each other therefore…

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

A: Find the equation

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: Practicel Given the vertices, determine the quadrilaterals most specific classification. O A(9, -4),…

A: We have yo find that figure

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: Quadrilateral ABCD with vertices A(-4, 1), B(-2,3), C(0,-2), and D(-5,-2) Give the coordinates of…

A: for scale factor of k (x,y)→(kx,ky)

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

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Q: Suppose that ABCD is a parallelogram, and В 3 (-3,b), А — (-4,4), C = (1,2), D = (a, 1) %3D What are…

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Q: For Exercises 19–22, determine if the given points form the vertices of a right triangle. (See…

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Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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Q: Find the areas of the parallelograms whose vertices are given A(0, 0), B(7, 3), C(9, 8), D(2, 5)

A: Given vertices of parallelogram: A(0, 0), B(7, 3), C(9, 8), D(2, 5) Now, Vector AB is…

Q: The corners for a fence are located at A (11,3), B (3,-11), C (-13,-9), and D (-5,9). What is the…

A: Any point on the cartesian coordinate system is represented by the ordered pair: x,y. Start from the…

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 slopes and the distance formula to show that the quadrilateral whose vertices are (0, 0), (1,…

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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: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

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Q: Determine whether the four vertices form a parallelogram: P(1, - 4), Q(3, 11) , R(6, 11), S(4, - 4)…

A: Diagonals of parallelogram bisect each other.So we will find  mid points of each diagonal and see if…

Q: Suppose that ABCD is a parallelogram, and B = (-1,b), A = (-5, 5), C = (3, 4), D = (a, 2) What are…

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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: The vertices of a quadrilateral are A(-4, -2), B(-2, 1), C(3, 2), and D(1, -1). Is it a…

A: Known fact: The Midpoint of line joining two points is given by m=x1+x22,  y1+y22. Given vertices of…

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: Quadrilateral ABCD has vertices A (1, -1), B (7, 1), C (8, -2) and D (2, -4). Determine whether ABCD…

A: A rectangle is a four-sided polygon, having all the internal angles 90o, the opposite sides of the…

Q: Consider quadrilateral JKLM with the following coordinates: I(1, -2),K(-1, -4), L(-3, -2), M(-1,…

A: The coordinates of J are = (1, -2) The coordinates of K are = (-1, -4) The coordinates of L are =…

Q: Determine ξ so that the points P1(4, −3), P2(ξ, −8), and P3(12, −21) are the vertices of a right…

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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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: Whats the area of a triangle if its vertices are at A (-8,-6), B (6,9) and C (8,-14)

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Q: Plot the points and graph them in the order given. Then determine whether the quadrilateral is the…

A: The distance between two points is the length of the path connecting them. The shortest path…

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

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

A: Given The vertices of the triangle are (8, 2), (4, -5), (3, -8) . Perimeter definition: Perimeter is…

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Q: Show that the points A(-2,9), B(4,6), C(1,0), and D(-5,3) are vertices of a square

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