Triangle PQR has vertices P(1,-1), Q(1,-5), and R(-3,-3) and is rotated 90° clockwise about the origin to form triangle P'Q'R'. y What is the length of segment P'Q'?

Q: Let the triangle ABC and A ', B', C ', the intersections of the tangents to its circumscribed circle…

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Q: The point (2, 3) is rotated 90° about the origin and then dilated by a scale factor of 4. What are…

A: According to question given that The point (2,3) is rotated 90° about the origin and then dilated By…

Q: 17. What is the distance between the origin and the point (4,3, 3)

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

Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

Q: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 6.…

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Q: 5. Point D is the midpoint of segment BC. If B(-4, 2) and C(10, 8), what is the midpoint of segment…

A: 5)

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

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Q: 4. Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x-axis.…

A: Solution:- point p is located at (4,8) on the coordinate plane. which is reflected over the x- axis.…

Q: Find the distance between the points.   ​(1​,1​) and ​(1​,−3​)

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Q: 2. A ray creates an angle of 245 degrees from the 3-o'clcok position. What is the slope of this ray?

A: A ray creates an angle of 245 degrees from the 3-o'clcok position. We have to find  the slope

Q: 4) Point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M are…

A: We will use the mid point formula to find the coordinates of B

Q: A segment has two endpoints V and X . What are two names for the segment?

A: Given ,  A segment has two end points V and X . We know that ,  A line segment denoted by its two…

Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

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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 ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes…

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Q: 4. Find the coordinates of the vertices of a triangle knowing that the coordinates of the midpoints…

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Q: the foci of an elipse are located at (-8,6) and (10,12), then the coordinates of the center of the…

A: Given that: Foci of the ellipse are: (-8, 6)and (10, 12)

Q: Let S be the triangle with vertices (4.2, 1.2, 4), (6, 4, 2) and (2, 2, 6). Find the image of S…

A: Let D be the data matrix for S.

Q: Let P (-1,3). Find the point Q for which the line 2x + y = 5 serves as the %3D perpendicular…

A: Given: P(-1, 3)  2x+y=5 is a perpendicular bisector of line segment PQ, i.e. it divides PQ into…

Q: 6. The segment XY with endpoints X(4, 3) and Y(1, -3) is rotated 90° about the origin. What is the…

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Q: How do I verify that these points for a right triangle (4,0),(2,1),(-1,-5)

A: Given a triangle with points  A=(4,0) , B=(2,1) and C=(-1,-5)

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: How many lines of symmetry does this figure have? It has line(s) of symmetry.

A: Given: We have to find out line of symmetry

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: 6. Point Q is located at (27, -30). If is dilated by a factor of , with center of dilation as the…

A: Point Q is located at (27, -30) is dilated by a factor of 16, with center of dilation as the origin.

Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: Find the coordinates for the midpoint of segment MN with endpoints M(2, -5) and N(-1,3)

A: The coordinates for the midpoint of segment MN with endpoints M(2, -5) and N(-1,3).

Q: 4. The vertices of a trapezoid are located at (1, -2), (3, -1), (3, -5), and (1,-4). The trapezoid…

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Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: The coordinates of point P are (7,1). What are the coordinates of the image of P after Rog. about…

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Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: Determine whether the point (2,6) lies on the circle with radius 3 and center (- 2,4). The point…

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Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: We mark off the distance on unit circle, starting at (1,0) and movingcounter clockwise.After…

Q: Point P (0,2) is the point of intersection of y axis and perpendicular bisector of line segment…

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Q: Point B(7,4) is located on segment AC such that AB is % of AC. Find the coordinates of point C if…

A: There are 2 point is given and ratio is given so simply use the section formula and get the…

Q: Point T is at (-3, 7). What are the coordinates of point T' after Ry-axis · Rx-axis? T' = (

A: Solving the above problem.

Q: Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2,…

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Q: 3. Find the cosine of the angle between the line L1 passing through P1(1, 4, 2), P2(3, -1, 3) and…

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Q: Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates…

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Q: Find the distance between the points (4,-1) and (-1,5) Distance %3D

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Q: Find the angles of the triangle with vertices: (0,1,0), (1,0,3) and (5,5,0)

A: The vertices are given as (0,1,0) , (1,0,3) , (5,5,0) We know that  d = (x2-x1)2+(y2-y1)2+(z2-z1)2…

Q: -) Find the distance from the point (4, 22, 6) down to the ry-plane. ) Find the distance from the…

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Q: Point R divides a line segment with endpoints P(4,5) and Q(10,14) in the ratio such that PR:RQ = =…

A: In the question it is asked to calculate  the coordinate of points R.

Q: A segment has endpoints L(-2,7) and K(5, –3). What are the coordinates of the midpoint of LK?

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Q: 1. A segment has a midpoint located at (-2, –3) and an endpoint located at (-7, 2). What are the…

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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.