Q6) If the point A, B, C are .collinear then AB.BC = 0 F

Q: If KF is the perpendicular bisector of GH, 19. then ZKGF = [A] ZFKG [B] ΚΓΗ [C] KF [D] ZKHF

A: ‌‌< KHF

Q: Evaluate the line integral along the given path(s).

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

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: The midpoint of AB is M (5, –5). If the coordinates of A are (3, –6), what are the coordinates of B?

A:

Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,-1,4), C(a. b.c), the midpoint M(1. 0,9) of…

A: The complete solutions are given below

Q: Construct the perpendicular bisector of each. Must show all construction marks. 1) 2) 3) 4) 5)

A: To construct the perpendicular bisector to the line, Steps to find perpendicular bisector; Step 1:…

Q: Show that the points A(1, 1 + d), B(3, 3 + d), and C(6, 6 + d) are collinear (lie along a straight…

A:

Q: If quadrilateral ABCD was rotated 270 degrees counterclockwise about point D, what would be the…

A: Use coni method to find the rotation of point B after 270 degree rotation, zB'-zDzB-zD=cosθ+isinθ…

Q: The quadrilateral ABCD is to be reflected across the line y = x, as shown in the diagram, to give a…

A: Determine: what are the coordinates of point A? Given: we have given an image of the graph…

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…

A:

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: Given 3 points A(-14,-8), B(-9,-5) and C(1, 1). Prove that A, B and C are collinear.

A:

Q: The midpoint of AB is at (5, 0). If A = (4, 3), find B. B is:(

A: Consider the given information.

Q: Suppose that (a) points A, B, and C are collinear and (b) AB > AC. Which point can you conclude…

A: (a) A, B and C are collinear⇒ A, B and C lie on a straight line

Q: 4) Find x, y, and z in this this rhombus. 10 60 yo

A:

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB > AC.

Q: 17. In parallelogram ABCD, if ED = 7x-213 and BD = 16x- 38, find BD. %3D B. C

A: Property of parallelogram:   The diagonals of parallelogram bisect each other. (17).  Using this…

Q: -dA where R is the triangle of vertices (0,0), (1.0) and (0, 1). answer: 0

A:

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

A:

Q: 2. Determine the value of each variable for parallelogram INDY that has diagonals that intersect at…

A:

Q: 3. Which of the following figures is not a rhombus?

A:

Q: The midpoint of AB is M(2, –2). If the coordinates of A are (-2, 1), what are the coordinates of B?

A: Recall: Mid point Formula: The midpoint of M(x,y) of the line segment from A(x1,y1) to B(x2,y2) is…

Q: The midpoint of AB is M(1, -4). If the coordinates of AA are (−3,−6), what are the coordinates of…

A:

Q: Consider ABCD, with A (-4, 4), B (1,6), C (–1, 1). and D( 6, 1). ABCD Is a parallelogram. Show that…

A: We know that, the diagonals of a parallelogram bisect each other at right angles. Therefore, mid…

Q: 2. Write the image points for Ry-1(ABCD) = A¡BICIDI. y A'( B' ( C(

A: In the question for the given figure it is asked to show the mirror image of the rectangle ABCD with…

Q: Assuming A (3, -1, -4) And B (7,2,4), let the coordinates of point C be as we had it: as shown

A:

Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

A:

Q: 2. B C. a. Which pair(s) of planes intersect? b. Which planes intersect in RS ?

A: 2 a.  The pairs A,C and B,C are the intersecting planes. The planes A and C intersect as; The planes…

Q: The midpoint of \overline{\text{AB}}AB is M(1, 1)M(1,1). If the coordinates of AA are (-2, 5)(−2,5),…

A: Given, A=(x1,y1)=(-2,5) Midpoint M(1,1) Let the other point B have coordinates (x2,y2)

Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the coordinates of B?

A: As we know that the midpoint formula: Mid point x,y=x1+x22,y1+y22 Given: Mx,y=6,1Ax1,y1=4,8

Q: In rhombus ABCD, with diagonals AC and DB, AD- 1O. 6/ 10

A: Since we have been given that in rhombus ABCD, we have been given that the length of diagonal AC¯…

Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B

A: To find the coordinates of B

Q: D W.

A: Two straight line are intersected by a point D.Two straight line is given.

Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: The midpoint of AB is M (1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?

A: To find B coordinate.

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

A:

Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B.

A: To find the point B

Q: C. If PQRS is a rhombus. 5. QR 15, RS = %3D %3D 6. MZQRS 120, mzQRP %3D

A:

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: Determine whether the points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6)                    are…

A: Given, The points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6).

Q: Find the measures of 25 and 24 in the given rhombus with the diagonals drawn. 19 m24 =. degrees m25…

A:

Q: The midpoint of AB is M(6, 1). If the coordinates of AA are (4, 8), what are the coordinates of BB?

A: M has coordinates (6,1) Coordinates of A =(4,8)

Q: If AB = i + 4j – 2k and B is the point (5, 1, 3), find A. -

A:

Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A:

Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: To Determine: The diagonals of parallelogram WXYZ intersect at D.Which statements must be true?…

Q: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A:

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.