Exercises 1 and 2 refer to points X(- 2, – 4), Y(2, 4), and Z(2, - 6). 1. Graph X, Y, and Z on one set of axes, then find XY, YZ, and XZ. 2. Use the distance formula to show that AXYZ is a right triangle.

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

A: Topic:- coordinate geometry

Q: Which of the following is a three-point geometry? 3.1

A: To find which of the given figure is three point geometry .

Q: The coordinates of P are (2,0) and the coordinates of Q are (0,-6). Find the midpoint of segment PQ.

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Q: The midpoint of is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

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Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: Determine the point(s) on y=x2-1 that are closest the point (7,7)

A: Let (x, y) be the point on the given graph which is closest to (7, 7). Therefore the distance…

Q: 3. a) If ā = (2,3,7) and b = (-4, y,-14), for what values of y are äand b perpendicular? For what…

A: Note to student : Hello. Thanks for posting your queries. Let us inform you that your question has 2…

Q: In Cartesian space, the point form of a line is e: (x, y, z) = (2 + r, -3 + 2r, 5 – 5r). - 3. a)…

A: Given: The point form of a line is l:x,y,z=2+r,-3+2r,5-5r. Calculation: (a) It is observed from the…

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: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: Given (x,4) and (-3,y), find x and y such that the midpoint between these two points is (6,4).

A: To find the x and y such that mid point of (x,4) and (-3,y) is (6,4)

Q: V and S are the midpoints of the legs, QU and RT, of trapezoid QRTU. If TU = 6 and QR = 10, what is…

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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: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

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Q: 4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule…

A: I am going to solve the given problem by using some simple geometry.

Q: If this trapezoid is moved through the translation (x+3, y-2), what will the coordinates of A' be?…

A: see below the answer and calculation

Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

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Q: The midpoint of AB given A (3,-12) and B(-1, -2) is (z, y). What are the values of z and y? O (1,5)…

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Q: The midpoint of AB is M(4,-2). If the coordinates of A are coordinates of B? (3, -6), what are the

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Q: Find the image of the given point under the given translation. P(-3,-3) T(x, y) = (x – 8, y - 3) P'…

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Q: In Cartesian space, the point form of a line is e: (x, y, 2) = (2 + r, -3 + 2r, 5 5r). a) Find the…

A: In cartesian space, the point form of a line is  l : (x, y, z) = (2+r, -3+2r, 5-5r).   a) Find the…

Q: Apoint P(x,2) is equidistant from the points (-2,9) and (4,-7). What is thevalue of x?

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Q: Find the value of  x for which the distance between the point P(2, -3) and Q (x, 5) is 10

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Q: Let T1 and T2 be two triangles in the plane. Find the number of possible points of intersection of…

A: Given, T1 and T2 are two triangles in a plane  To find the number of possible points of intersection…

Q: Graph each figure and its image under the translation with the given rule. Give the coordinates of…

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Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

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

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Q: 2. In the standard (x, y) coordinate plane, a line segment with the endpoints (-1,3) and (4, 3) is…

A: Given: line segment with (-1,3) (4,3) is one side of the square . find the Area of the square

Q: Find the distance between the points: (3, 7) and (2, 12) ww.. A

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Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: What figure can be formed when the points B (-1,4), E (7,8), S (9,4), and H (1,0) are connected…

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Q: Find the values of x such that the distance between the points (-4,-2) and (x, 3) is 13 units. [show…

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Q: Give the coordinates of Q" after parallelogram PQRS with vertices P(0,6),. Q(5,-4), R(4,-7),…

A: we have been given the points of a parallelogram and we have to first reflect it across the y-axis…

Q: 1. What figure is formed when the points Q(-2, 2), R(14,10), S(11,13), and T(-1, 1) are connected…

A: Find your answer below

Q: Find the point(s) on x = 3 – y? that are closest to point A=(1,0).

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Q: The line parallel to y=?x+5, passing through the point (3, 2)

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Q: The midpoint of AB is M (0, –4). If the coordinates of A are (-8, –7), what are the coordinates of…

A: To find the coordinate of point B. If the coordinate of point A and midpoint of line AB is given.

Q: Consider the line segment joining  A(−3, 3) and B(9, 7). (a) Find an equation, in the form of  Ax +…

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Q: Find the coordinates of point L on the triangle below after a translation using the rule: (z, y) – >…

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Q: Find the image of the given point under the given translation. P(-6, 4) T(x, y) = (x+ 5, y- 9) P' =…

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Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: Q1: If A (x,-5, 6), B (1,-1, 0), C (-4, 1, 3). Find value of (x) that makes the triangle ABC is…

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Q: following represents the nidpoint formula? A. M= (, ) B. M = (, ) C. d = (x2 – x1)² + (ý2 – y1)² D.…

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Q: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular…

A: Given:point A(-5,3),B(9,-9)         arbitrary point p(x,y) is on perpendicular bisector 'l'we know…

Q: We can now use reflection to find many other points! T. What would the coordinates of 210° be?…

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Q: Use the coordinate plane and Quadrilateral ABCD for question 2. 2. Which of the following statements…

A: We have to find the statements which are true for the given graph.

Q: Find the missing coordinate "H" such that quadrilateral EFGH is a rectangle. E(-1,-2) ;F(-3,1) ;G…

A: Solve as general

Q: How can we use the Pythagorean theorem to find the length of segment AB, or in other words, the…

A: Given: The two points are A = (-2,1) and B = (3,3) To Find: The distance between A and B

Q: If this trapezoid is moved through the translation (x+1, y-3), what will the coordinates of D' be? B…

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