Points A and B have symmetry with respect to the x-axis. Find the coordinates of A if B is the point: a) (5, 1) b) (0, 5) c) (2, a) d) (b, c)

Q: C(3,-5) and D(7,9)

A: Topic:- coordinate geometry

Q: What is the midpoint line segment AB defined by the points A: (2, -3) and B: (-1, 0). O a3 O (0,-2)…

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Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: If co-ordinates of A is (x1,y1)and co-ordinate of B is (x2,y2)then midpoint of AB isx1+x22,y1+y22

Q: The coordinates of point Tare given. The midpoint of ST is (5, -8). Find the coordinates of point S.

A: Given that, coordinate of point T = (-2, 8) Coordinate of midpoint of line ST = (5, -8) we have to…

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: 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: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: Use the Pythagorean Theorem to find the distance between the points (-3,5) and (-1, 1).

A: Pythagoras Theorem is applicable on right angle triangle. Hypoteneous2=(perpendicular)2+(base)2…

Q: A,B,C are three points on OX ,OY ,OZ respectively at distance a,b,c (a'0,b'0,c'0)from the origin…

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Q: Points A and B in the Cartesian plane have coordinates (0,0) and (7,4) respectively.How many…

A: Manhattan distance between two points (x1,y1) and (x2,y2) is given by:

Q: For AB, point A has coordinates (3, -5) and point B has coordinates (-1, 9). What are the…

A: Consider the given coordinates of point A is 3 , -5 and the coordinates of point B is -1 , 9

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: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

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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: The midpoint of AB is M(-4,0). If the coordinates of A are (-6, 4), what are the coordinates of B?

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Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: and the coordinate planes.

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Q: The Cartesian coordinates of a point are given. (a) (-2, 2)

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Q: Point A is one of the endpoints of segment AB. M is the midpoint of AB. If the coordinates of M are…

A: Let the point C x,y be the mid point of the line joining the points P x1,y1 and Q x2,y2 then we have…

Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

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

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Q: Points A and B in the Cartesian plane have coordinates (0,0) and (7,4) respectively. Find the…

A: Now we have plotted three points O(0,0),A(7,4).

Q: The midpoint of PQ is MCI0,7). One endpoint is P(7,-2), What are the coordinates of the other…

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Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Two vertices of an equilateral triangle are located at (2,0) and (-2,-3). What is the triangle's…

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: Points A, B, C, D form a parallelogram, where A = (1,-2,3), B = (3,1,2) and vecBC is parallel to…

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Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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Q: circle passing through (a, b) and cuts orthogonally to circle x? + y? = p², is

A: Introduction :

Q: 3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A: Here in the graph, A=(5,-2)  ,  B=(8,3)   and  c=(3,8) We have to find the coordinates of point D

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: The midpoint of AB has coordinates (-3, 2), and the coordinates of point A are (1,4). What are the…

A: Given: The midpoint of AB has coordinates -3, 2, and the coordinates of point A are 1, 4. To Find:…

Q: 1. In a rectangular coordinate system, the point where the x- and y-axes meet is called the

A: Consider the provided information, In a rectangle coordinate system, the point where the x and y…

Q: Advanced Math prove that corresponding angles of two parallel lines and their intersection cannot be…

A: Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal…

Q: C(-4, 7) and D(0, -3)

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Q: The midpoint of AB is M(-6, –6). If the coordinates of A are (-4, –8), what are the coordinates of…

A: Midpoint of the line joining by two point A (x1,y1) and B(y1,y2) is given byM(x,y)=x1+x22,y1+y22

Q: If Point P is reflected across the line x = 3 so that P'(9, 1), then what are the coordinates of P?…

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Q: 1. In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

A: The endpoints are 2, 7 and 12, 19To find the x-coordinate of midpoint.

Q: X, % . Point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the midpoint of each side of the triangle with vertices A (-5,4) B (3,6), c (2,2). Prove that…

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

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Q: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

Q: 6. If the coordinates of A are (-3, 2) and the coordinates of the midpoint of AB are (-1,5), what…

A: Given coordinates of A=(-3,2) and the midpoint of AB ¯ = (-1,5) find the coordinates of B

Q: (a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric…

A: Condider the figure: The circuncenter G. If R is the circumradius, the coordinates of G…

Q: The sides of a triangle are defined by the equations x + 2y- 2 - 0, 2x - y- 4 = 0, and 3x + y + 9 =…

A: The sides of triangle are  x+2y-2=0.........(1)2x-y-4=0..........(2)3x+y+9=0..........(3)

Q: Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (23.0, 4.0), where…

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Q: 11. The coordinates of the midpoint of AB are (2,4), and the coordinates of point B are (3,7). What…

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Q: 1. Points A,B,C,D form a parallelogram, where A = (1, –2,3), B = (3, 1,2), and BC is parallel to i =…

A: Given that points A, B, C, D form a parallelogram, where A = (1, -2, 3) , B = (3,1,2) and vector BC…

Q: An angle in a rectangular coordinate system is in standard position if its vertex is at the________…

A: To fill in the given blanks.