Prove that ABCD is not a parallelogram. 8 7 6. 5 4 3 2 2 3 4 5 6 7 8 9 ABCD is not a parallelogram because although the slopes of BC and AD are both [ Select ] and represent parallel lines, the slope of AB is [ Select] and the slope of CD is [Select] Because the slopes of AB and CD are [Select] ~ , this proves that these two segments are not parallel. Therefore, ABCD cannot be a parallelogram if both pairs of opposite sides are not parallel.

Q: 4. A quadrilateral has vertices (4, 1), (1, 7), (- 6, 0) and (-1,-9). Show that the mid-points of…

A: As per the guidelines I am answering only first question. Kindly reupload and ask to answer other…

Q: coordinates of D. А. D(-5, 4) В. D(8, 2) С. D(14, 4) D. D(4, 1)

A: Use property of parallelogram to solve

Q: 4. Parallelogram ABCD has vertices at coordinates A(-3,1), B(-1,4), and C(4,6). Determine the…

A: Given: A parallelogram ABCD with vertices A:-3,1, B:-1,4 and C:4,6.   To determine: The coordinates…

Q: Three vertices of parallelogram ABCD are A(-5;0), B(0;1) and D(-1;3). Evaluate the length of…

A: Given 3 vertices of the parallelogram are  A-5,0 ; B0,1 and D-1,3  Let the fourth vertex be Cx,y…

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

A:

Q: Consider the following. A(2, 1, 2), B(2, 3, 2), C(-2, 4, 2), D(-2, 6, 2) (a) Verify that the points…

A: A(2,1,2), B(2,3,2), C(-2,4,2) and D(-2,6,2) We need to verify these points are the vertices of…

Q: 1. Which two lines are parallel? 1.5y--3x-5 2. 5y=-1-3x 3. 3y- 2x =-1 1 and 3 None of the lines are…

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Q: 4. The points P(2,0, 1) and Q(4,2,5) are in R. (a) Find the midpoint between these two points, and…

A:

Q: 1) Determine if the figure is a parallelogram. Slope-of:- ВС: AD: C(6, 5) B(1,3)- AB: D(7, 1) CD:…

A: on solving this we get the

Q: Consider the points A(-10,8), B(-1,-13), C(-4,-15). Given that ABCD is a parallelogram, find the…

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Q: The point (4,3) is. the point of the intersection of the diagonals of parallelogram and two of whose…

A:

Q: H. (7m -48)° (3m+0)° (14n +11)° Part 1 out of 2 m ZK= mZG= m ZJ = %3D %3D

A: Solution  For Given  Quadrilateral GHJK , m= 12 and n = 9.5 A we know the sum of all interior angles…

Q: Which of the following is the best definition of a diagonal of a parallelogram? It is the segment…

A: Parallelogram : A parallelogram is a quadrilateral in which opposite sides are parallel and equal.…

Q: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

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Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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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: Determine whether or not ABCD, which has vertices A(-2,4), B(-4,1), c(2,0), and D(4. 3) is a…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: X+3 2y-27 -11

A: Explanation and solution is given below....

Q: Find the value of x in each parallelogram. 7. 9. IK = 35 4x + 3 8. 10 2x - 4 6x - 22

A: Solution:GivenA parellelograms are givenTo find the value of x:In a parellelogram the segement…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.