Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle. 10 7201O Tx

Q: 4. buadrilateral NORA has vertices N(3,2), O(7.0), R(11.2), and A(7,4). Use coordinate geometry to…

A: we have to show that NORA is a rhombus but not a square

Q: Prove that triangle ABC, which has vertices 4(3.4), B(5,-2), and C(1,-2) is isosceles. А (3,4) 4 3 2…

A: The given vertices of the triangle are  A(3, 4) B(5, - 2) C(1, - 2)

Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-7, 5,…

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Q: Prove that the points M(2, 5), N(12, 3), and O(10, 11) are the vertices of a right triangle

A: Given the points

Q: 3. Quadrilateral QUAD with vertices Q(-4, 2), U(-2, 1), A(O, -2), and D(-5, -4); 90°…

A: Given vertices of the quadrilateral, QUAD are  Q=-4,2U=-2,1A=0,-2D=-5,-4 The quadrilateral is being…

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

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

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, −2,…

A:

Q: Find the area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and N(4, 5,…

A: To Determine  The area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and…

Q: Chas vertices A(1: 3): B(4: 1) and C(6: 4), Prove that

A:

Q: 6. Show that the diagonals of the square with the given vertices are congruent perpendicular…

A: The formula for the midpoints of (x1,y1) and (x2,y2) is x2+x12,  y2+y12 and the formula for the…

Q: 3 Determine what kind of quadrilaterál I formed by the following points: S MI-2,-1), L(1,3), T(5,0)…

A: Given

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

A:

Q: 2. Find the area of the triangle with vertices (0,0), (3,1) and (1,2)

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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1), and M(-1,2) is a square.

A: We have to prove that the quadrilateral given is a Square

Q: Prove that the diagonals of a rectangle are of equal length. [Hint: Take the vertices of the…

A: To prove that diagonals of a rectangle are if equal length.  Consider a rectangle which has one…

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

A:

Q: Let Q be the quadrilateral with vertices (−2, 3), (1, 4), (3, 0), and (−1, −3). Find the area of Q.

A: Given that, Q be the quadrilateral whose vertices are −2, 3), (1, 4), (3, 0), and (−1, −3). To find:…

Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: 7. If the coordinates of quadrilateral ABCD are A(3, 5), B(7, 6), C(6, 2) and D(2, 1), proveABCD is…

A: Given: Quadrilateral ABCD with vertices A(3,5), B(7,6), C(6,2), D(2,1)

Q: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

A:

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 area of the trianlge with vertices P(1,0,1), Q(-2,1,3) and R(4,2,5). Show your work. 5.

A:

Q: 2. What are the coordinates of the fourth vertex C so that rectangle ABCD is formed? Bty (-1,6) 81y…

A:

Q: Classify a quadrilateral as precisely as possible given four vertices: C(4, 8), D(9, 8) , E(9, 6) ,…

A:

Q: The vertices of quadrilateral KAIT are K(0,0), A(a, 0), I(a + b, c), and T(b, c). Use coordinate…

A: Parallelogram is a kind of quadrilateral with two pairs of opposite sides. In a parallelogram, the…

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Prove that a parallelogram is a rectangle if and only if its diagonals are equal in length. (This…

A: Let ABCD be a parallelogram. Given AC and BD are diagonals of parallelogram in equal length. In…

Q: quadrilateral has vertices Q(6, 2), R(9, 5), S(6, 8), T(3, 5). Select all names for this figure.

A:

Q: Prove that a parallelo-gram is a rectangle if and only if its diagonals are equal in length. (This…

A: Consider a parallelogram ABCD having diagonals AC and BD such that, AC=BD.

Q: 4. The cocrdinates of the vertices of a triangle are M (-1, -3), A(7.5), ond Y (7. -2). What is the…

A:

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

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

Q: Prove that quadrilateral DAVE with the vertices D(2,1), A(6,-2), V(10,1), and E(6,4) is a mbus. Yt…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: quadrilateral

A:

Q: Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a square.

A: →In a quadrilateral, if all sides are equal then quadrilateral is a square. →Calculate the length of…

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

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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

A:

Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: The vertices of a quadrilateral are M(–1, 1), N(1, –2), O(5, 0), and P(3, 3). Which statement…

A: Given query is to find the shape of quadrilateral.

Q: Prove that quadrilateral A(1,-2) B(13,4) C(6,8) D(-2,4) is a trapezoid, but is NOT an isosceles…

A: Given the quadrilateral vertices are A(1,-2) B(13,4) C(6,8) D(-2,4) To prove that, given vertices…

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Show that the quadrilateral having vertices at (1, 1,3), (-2,1,-1), (-5,4, 0), and (-8, 4,-4) is a…

A: This is a problem related to area of the parallelogram by cross products. Based on the general…

Q: Determine if quadrilateral EFGH with E(-2, 1), F(1, 2), G(4, 1), H(1, -4) is a parallelogram by…

A: Parallelogram is a quadrilateral with opposite side parallel and equal. So to check whether the…

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: 2. AQRS with vertices Q(2, 5), R(7, 1), and S(-1, 2); translate by (-1, -2)

A: To find the coordinate of translate image we add vector and coordinate of original image.

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.