A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral formed by the vertices (0,0), (5, 2), (10, 10), and (0, 6) is a trapezoid.

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 3,…

A: Consider the provided question, Let the vertices of the parallelepiped are A, B, C and D.

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: Suppose Quadrilateral A(0, 5), B(0,0), C(-4, -1), & D(-4, 4). Circle ALL the types of quadrilaterals…

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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: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: 1. quadrilateral TUVW with vertices T(-3, -8), U(-6, 3), V(0, 3), and W(3, 0); translate by (4, 5)

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

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

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

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Q: Use slopes to show that the quadrilateral with vertices at (1, 3), (-5/2, 2), (-7/2, 4), and (2, 1)…

A: Given that Vertices of quadrilateral are A1, 3, B-72, 4, C-52, 2 and D2, 1   It is known that the…

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…

A: Given,  the coordinates of A and B which forms line AB  And c is the mid point is AB Hence the…

Q: Find the areas of the parallelograms whose vertices are given A(0, 0, 0), B(3, 2, 4), C(5, 1, 4),…

A: Given: The vertices of parallelogram are A(0,0,0) , B(3,2,4) , C(5,1,4) and D(2,-1,0) To find: Area…

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: Find the volume of the parallelepiped determined by the vertices A(1,1,1), B(4,7,2), C(3,2,1) and…

A: Let the vertex A(1,1,1) be taken as the point from which all measurements are taken. Calculate AB→,…

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,…

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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 quadrilateral is a parallelogram if: a) length of opposite sides are equal b) midpoint of…

Q: Draw the image of quadrilateral ABCD under the translation (z, y)-(-7,y+1).

A: from the diagram coordinate of quadrilateral ABCD   is   A(6,-5)    B(0,-3)     C(5,-2)   and (5,-4)

Q: K. z,

A: We have a RHOMBUS RYZP  RK=5,RY=13 and ∠YRZ=67°we know that diagonals of rhombus intersects each…

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

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Q: Find the peremiter of the trapezoid with these vertices (-2,-2),(-5,-2),(6,-5),(-5,-5)

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Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: Verify that parallelogram ABCD with vertices A(-5, – 1), B(-9, 6), C(-1, 5), and D(3, – 2) is a…

A: We can verify this as below using the diagonals.

Q: 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 using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

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

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Q: What is the area of a triangle with the vertices at (-1, 2), (-5, 0), and (-1, -2)

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

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Q: :Prove that (4,-1).(6,0).(7,2)and (5,1) are the vertices of a rhombus.Is it a square?

A: In a square the sides are perpendicular but in a rhombus they need not be. All sides are of equal…

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: Quadrilateral ABCD has vertices A (-2, 3), B (3,4), C (2, -1) and D (-3, -2). Determine whether ABCD…

A: Polygon having four side is called quadrilateral. Quadrilateral having all sides equal and its…

Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4,–16, –14), (-11,…

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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: quadrilateral

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Q: Find the area of the quadrangle with vertices (4, 1), (-5, 4), (-3, –6), and (3, –3). 1,0 Area =

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Q: 3. Mr. Cruz would like to buy a lot however, his broker gave the dimension of the lot using the…

A: The area of a quadrilateral when 4 of its vertices in counter-clockwise direction0 is:…

Q: Find the area of the quadrangle with vertices (6, 1), (-5, 5), (–3, –5), and (5, –4). Area = 1,0 -7…

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

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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: 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 vertices of a quadrilateral are A(9, 4), B(8,-2), C(2,-5), and D(3,-7). Classify the…

A: Given ABCD is a quadilateral A(9,-4), B(8,-2), C(2,-5), and D(3,-7) Recall distance formula to find…

Q: Find the area of the parallelogram with vertices at (3, –3), (11, 1), (12,-5), and (20, –1). Area =

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Q: Verify that the points are the vertices of a parallelogram, find its (section 9.7) area, and…

A: A(2,-1,4) B(3,1,2) C(0,5,6) D(-1,3,8)

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 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: 5. Quadrilateral WXYZ with vertices W(-6, 7), X(-3, 6), Y(-1, 3), and Z(-7, 1): 180° W'(___ X'(_, Y'…

A: solve the following

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: Find the lengths of the medians of the triangle with vertices at   A(4, 3, 1),  B(2, 1, 2) and…

A: Length of medians