Let AB be a segment and letr be its axis. Show that every point P on r is equidistant from A and B.

Q: The segment addition postulate states that ifA, B, and C are collinear with B between A and C, then…

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Q: Given directed line segment AB, where A(0,0) and B(6,0). Determine the point P that partitions the…

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Q: In the figure alongside, two chords PQ and RS of a circle with centre O are produced to meet at T.…

A: Since, we have been given that two chords PQ and RS of a circle withcentre O are produced to meet…

Q: Let AB be a line segment. Prove the perpendicular bisector of AB is the set of all points which are…

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Q: a) parallelogram, then find its area: P2(1, 0, 1), P3 (0, 1, 1), p.(1.1.1) Show that the four points…

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Q: Let P and Q be the points in R3 , with respective coordinates (3, −1, 2) and (4, 2, −3). Find the…

A: We are given two points P=(3,-1,2) and Q=(4,2,-3)  We have to find the length of segment PQ

Q: Prove the following statement: If P and Q are any points on a circle with center O and radius OA,…

A: Suppose that any two points P and Q lie on the circle centered at O and its radius is OA.

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

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Q: in the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

A: In the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

Q: Given two points P and Q, determine the coordinates of points M1, M2, ..., Mn-1 in the segment from…

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Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on the directed line…

A: Q divides the line segment MT in the ratio of 1:3let the coordinates of the point Q be (x,y)

Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

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

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Q: suppose that S = [a, b] x {0} is a closed line segment %3D in R?. Show that H' (S) = b a.

A: Here given as S=a, b×0 is a closed line segment in ℝ2. We have to prove that H1S=b-a

Q: Let points A; B , C , and D in R3 have respective coordinates (1, 2, 3), (−2, 3, 5), (0, 3, 6), and…

A: Given: A(1, 2, 3), B(−2, 3, 5), C(0, 3, 6), D(3, 2, 4)

Q: Given ⊙N with chord AB, which point lies on the perpendicular bisector of AB?

A: We can answer the question as below using the properties of circle.

Q: Let y = and u = | Compute the distance from y to the line through u and the origin.

A: Compute the distance from y = [-3,9] to the line through u = (1,2) and the origin.

Q: Let et x= and y = . Find the distance betwen 2x and y

A: #  Given Data:     x=3,0,0     y=6,3,4

Q: Find the point E that partitions the directed segment CD in a ratio of 1:5, given the points C(4,-2)…

A: Given that the line segment  CD is cut by a point (x, y) in the ratio 1:5given that points C(x1, y1)…

Q: In the given figure, M and N are centres of two intersecting circles which interest at A and B.…

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Q: Find an eguaton for the set of all points (a sy, z) equiditant fom point (1,0,2) and

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Q: Let R be the interior of the parallelogram with vertices (-3, 1), (-1,0), (–1,2), and (1, 1).…

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Q: Given: Line segment PQ has a length of 3(x+ PQ = QR, and QR = 84 %3D Prove: x = 21

A: Here we have to select the reason that best supports statement 6 in the given proof,

Q: Let ABCD be a quadrilateral, and let E be the midpoint of AB, F the midpoint of BC, G the midpoint…

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Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: Given the points A(5, -1) and B(-5, 3), find the coordinates of the point P on directed line segment…

A: To find a point P(x,y) on a line segment that divides it into two segments with lengths in a ratio…

Q: Let points A, B, C, and D in R3 have respective coordi- nates (1, 2, 3), (−2, 3, 5), (0, 3, 6), and…

A: A1, 2, 3, B-2, 3, 5, C0, 3, 6  &  D3, 2, 4. Now,…

Q: Given: PQRS is a parallelogram. Prove: PR and QS bisect each other.

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Q: Use the distance formula to prove that segment WN is a dilation The line segment is dilated about…

A: In this question we will use basic concepts of geometry i.e concept of distance between two points…

Q: parallelogram

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Q: 22. In parallelogram ABCD, E and F are the midpoints of AB and CD, respectively. Prove that AECF is…

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Q: Prove that all the points on a perpendicular bisector of a line segment AB are equidistant from the…

A: Statement:All the points on a perpendicular bisector of a line segment AB are equidistant from the…

Q: Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is…

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Q: Find the coordinates of the point K that lies along the directed line segment from J(4,1) to L(8,11)…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: If M is the midpoint of AB. then ____ =____

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Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on a directed line segment…

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Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is…

A: The coterminal angle is the angle that is obtained by adding and subtracting from the given angle.…

Q: Let M be the midpoint of RQ and N bethe midpoint of OP. Use coordinategeometry to prove that ONQM is…

A: Given: Let M be the midpoint of RQ and N be the midpoint of OP. So, the figure is as follows:…

Q: Given4ABC, let P,Q, andR be points on sides BC,AC, andAB, respectively, with RQ∦BC, and so that…

A: Consider the equation

Q: A directed segment  QR¯¯¯¯¯QR¯ with endpoints at  Q (2, 1)Q (2, 1) and  R (8, 13)R (8, 13) is…

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Q: . Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

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Q: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment…

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Q: Given: A, B, C and D are collinear points such that AB = CD. A C D Prove: AC = BD

A: A, B, C and D are collinear points such that AB=CD.

Q: Find c, and cz for the inner product of R2 given by (u, v) = C;u;V2 + Czuzv2 such that the graph…

A: Given the inner product u,v=c1u1v1+c2u2v2 whose length is u=1.   From the given figure, we can write…

Q: Find the length of each segment. W X Y -5 5. WX 6. WY Wx= WY = MAXE 7. Points A, B, and C are…

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Q: 7. Use the distance formula to determine if points P, Q, and R are collinear. a. P(-1,4), Q(-2, 3),…

A: To determine if points P, Q, and R are collinear a P-1,4, Q-2,3, R-4,1b P-2,1, Q3,4, R12,10c P-2,-3,…

Q: Draw AABC and label the midpoints of AB, AC, and BC as X, Y, and Z. respectively. Let P be the…

A: We shall draw the triangle, along with all other lines in order to visualise the problem better…

Q: If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that +…

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