9. DABCD is a convex quadrilateral. Let P, Q, R, S be centers of the squares drawn (externally to DABCD) on AB, BC, CD, DA respectively. Prove that PR is equal and perpendicular to QS.

Q: at is the name of the three-dimensional shape formed if points M and N remain fixed, while line…

A: Here we have to write the name of the three-dimensional shape formed if points M and N remain fixed,…

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

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: Suppose that O is the circumcentre of AABC and points X, Y, and Z are chosen so that BC, AC, and AB…

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Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and BC and AD are…

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Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.…

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Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Find if the figure is an isosceles trapezoid and find all the 4 slopes.

Q: State what kind of quadrilateral TIRE is based on the information given. 28. LTIE -LIER and ZTEI…

A: We can answer the question as below

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle. 34 ES 10

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Q: In any quadrilateral the two lines joining the mid-points of each pair of opposite sides meet at one…

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Q: 9. Prove, by coordinate geometry that QRST is a parallelogram. Q(0

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Q: Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1)…

A: All of the given quadrilateral, have given following properties. Parallelogram:  1. Opposite sides…

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: A(-3, 2), В(5, — 4), С(7, 7)

A: Consider the given points,  Now, prove that C is on the perpendicular bisector of segment…

Q: Prove that C is on the perpendicular bisector of segment AB.

A: Consider the given vertices A-3,2, B5,-4, and C7,7. If C is on the perpendicular bisector of AB,…

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

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Q: Prove that if DABCD is a parallelogram, then DABCD is convex.

A:

Q: Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1)…

A: We first plot the coordinates From the image, we see it is neither rectangle nor square.

Q: 2. Let ABCD be a quadrilateral. Let E, F, G, and H be the midpoints of its sides (as shown). Assume…

A: We have to use the Midpoint theorem:  "The line segment in a triangle joining the midpoint of two…

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: 7. Let ABCD be a cyclic quadrilateral such that sides AB and DC are perpendicular as shown. Let a,…

A: Given: A cyclic quadrilateral, ABCD such that sides AB and DC are perpendicular as shown in the…

Q: Prove that C is on the perpendicular bisector of segment AB.

A: Solution:Given A(-4,-3), B(6,1) and C (5,-11)To Prove: C is perpendicular bisector of ABi.e., to…

Q: Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1)…

A:

Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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: paragraph proof please!

A: Given: Points P, Q, R and S are the mid-points of sides of isosceles trapezium ABCD with AB || CD…

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

Q: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: 2 Prove that a quadrilateral with the vertices A(-2,3), B(2,6), C(7,6) and D(3,3) is a rhombus. IB

A:

Q: Suppose that four lines in a given plane a1, a2, b1. bz are given, with the conditions (also given)…

A:

Q: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

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Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB=(y+5)° ZC = (2y +15)…

A:

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Given: The vertices as W1,4, X1,8, Y-3,9, Z-3,3, To show: WXYZ is a trapezoid, To determine: Whether…

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: 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: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB = (y+5)" ZC =(2y…

A:

Q: 14 12 10 PARK 4. 2. 2. 10 12 14 00

A: By using the opposite sides parallel and conjugate theorem we show that the polygon which represent…

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

Q: 1. Prove analytically that the lines joining the midpoints of the adjacent sides of the…

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Q: ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and BC and AD are produced…

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Q: Prove analytically that the perpendicular bisector of the sides of a triangle are concurrent.

A:

Q: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

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 quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…

A: locating the points on the graph we get

Q: that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.

A: A quadrilateral inscribed in a circle is known as a cyclic quadrilateral. so,  if a pair of…

Q: Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that…

A:

Q: Show that the quadrilateral with vertices P(1,2) Q(4,4), R(5,9), and S(2,7) is a parallellogram by…

A: The given vertices of the quadrilateral are: P(1,2) Q(4,4), R(5,9), and S(2,7) Since the diagonal of…