Plot the points A(1,0), B(5,0), C(4, 3), and D(2, 3) on a coordinate plane. Draw the segments AB, BC, CD, and DA. What kind of quadrilateral is ABCD, and what is its area?

Q: ABCD is a parallelogram with A = (1, 2), B = (3, 8), C = (9, 10), and D = (x, y). Find xand y. %3D…

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Q: 27. Find the area of the parallelogram with vertices A (-3, 0), B (-1, 3), C (5, 2), and D (3, –1).

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Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13)° (4y + 7)° (3x-…

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Q: Find the Perimeter and area of a trapezoid with vertices at A(2,3), B(6,3), C(0,-1), and D(8,-1).

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Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: Find the area of the parallelogram with vertices A(−4, 5), B(−2, 8), C(2, 6), and D(0, 3).

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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: Find the value of x, y, and z in the parallelogram below.

A: Given,

Q: find the area of the parallelogram with vertices (2,4), (3, 8), (7, 12), and (8, 16). Answer:

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Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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

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Q: Find the values of x and y that make the quadrilateral a parallelogram. 4x + 6 4y - 3 Зу + 1 7x-3 y…

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Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

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Q: Find the coordinates of the midpoint of the segment that joins the givenpoints.15. (7, -2) and (1,…

A: Formula used: The coordinates of the midpoint of the segment that joins the points x1,y1,x2,y2 is…

Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,–1,3), C(a,b,c), the midpoint M(1,0,8) of…

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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: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: ind the area of the parallelogram with vertices A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

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Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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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: Find the perimeter of the triangle with vertices at​ A(0,0), B(−4​,−3​), and C(−5​,0).

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Q: Consider the parallelogram defined by A(3,6), B(7,10), C(15,10), and D(11,6). Determine the area of…

A: Solution

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: What type of quadrilateral has the vertices A(3, 6), B(3,3), C(6, 3),and D(6,6)?* O square O…

A: Correct answar would be option (A).

Q: Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find…

A: The triangle is as below:

Q: J(5. -1), K(8, 2). L(11, 10), M(8, 7)

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Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: Verify that the points A(0, 3, 2), B(1, 5, 5), C(6, 9, 5), D(5, 7, 2) are the vertices of a…

A: Given points are A(0,3,2), B(1,5,5), C(6,9,5), D(5,7,2).

Q: Draw an image of quadrilateral ABCD on the coordinate plane reflected over the y-axis

A: when Quralatral reflected over y-axis then y coordinate does not change only x coordinate change

Q: Find the values of x and y that make the quadrilateral a parallelogram. 16 9. X= y = D

A: Here we find out value of x and y for parallelogram sides.

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,–1, 8), C(a, b, c), the midpoint M(1,0, 2)…

A: Given:  A parallelogram has sides AB, BC, CD, and DA. Given A1, -1, 8, Ca, b, c, the midpoint M1, 0,…

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

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Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 6), C(8, 5), and D(6, -1).

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Q: Segment IJ I(-6,-12) J(-18, 22)

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Q: Segment AV A(4,12) V(-6,-3)

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Q: Find the area of the parallelogram with vertices A(-3, 4), B(-1, 7), C(3, 5), and D(1, 2).

A: The given vertices of the parallelogram are A (-3,4) B (-1,7) C(3,5) D (1,2)

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…

A: Given points  A(3,-1,2) B(2,1,5) C(1,-2,-2)

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: What is the most precise name for quadrilateral ABCD with vertices A(-5, 2), B(-3,4), C(5,4), and…

A: We have to check As per guideline we have to solve one question

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: What is the most precise name for quadrilateral ABCD with vertices A(-2, 4), B(3, 4), C(6, 0), and…

A: We can answer the question as below.

Q: find the general form of an equatoin for the perpendicular bisector of the segment AB where A=(-1,2)…

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Q: Find the area of the parallelogram with vertices  A(−3, 5), B(−1, 8), C(3, 6), and D(1, 3).

A: We first have to find the AB and BC vectors. A(−3, 5), B(−1, 8), C(3, 6)AB=(-1 -(-3) , 8-5)…