Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the image of Triangle TUV following a dilation with a scale factor of 2 centered at the origin. T( U'

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Q: Point R is on line segment QS​. Given,QR=3x−8,QS=3x, and RS=2x, determine the numerical length of

A: See the details solution in below

Q: Given: A(-2,2), B (1, –2), C (4, 3) Using a scale factor of , AABC is dilated from the origin to…

A: The coordinates of the Vertex of ∆ABC A(-2,2); B(1,-2); C(4,3),  we have scale factor  52,

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A: See the attachment

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Q: 1. A triangle has vertices at (-1, 0), (4, 0), and (4, 6) in a coordinate plane. What are the…

A: GIvenTriangle has vertices at (-1,0) , (4,0) and (4,6)To findlength of all sides.

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

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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)

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Q: a. Kite LMNO with diagonals LNand MO intersecting at point X. b. A pyramid with a rectangular base.

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

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Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of…

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Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

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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: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: The vertices of triangle TUV are T=(4, 4) U=(-4, 0) V=(-2, 2)   Scale factor is 2. Centre is origin.

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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: 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.

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Q: Find all values of x so that the triangle with vertices A=(x, -3, 4), B=(-1,0, 6), and C=(-2, –2, 7)…

A: The given vertices are A=(x,-3,4), B=(-1,0,6) and C=(-2,-2,7) has area 4.

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: (b) We can drawa square such that the perimeter of the square is made up of sides which are 4…

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Q: 5. USI P;(2,2,0), P2(-1,0,2), P3(0,4,3) VE, find the area of the triangle determined by the points…

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Q: Consider the parallelogram with vertices at (0,0), (2,0), (3,2), and (1,2). Find the angles at which…

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Q: Find the point with coordinates of the form (3a, a) that is in the third quadrant and is a distance…

A: Given data: The distance between points is s = 5. Given point is P(1, 2).

Q: 2. Triangle RST with R(-2, 1), S(2, -7), T(-6,-11): k = 3/4, centered at (-2, -7) %3D

A: For the Given triangle, RST scaled R'S'T' is calculated as shown below

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

A: Topic -  unit circle

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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: 3) The vertices of triangle JEN are J(2,10), E(6,4), and N(12,8). Use coordinate geometry to prove…

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Q: 19. What are the new coordinates of line segment CB if the triangle is dilated using a scale factor…

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Q: Show that the points form the vertices of the polygon. right triangle: (−4, 5), (0, 7), (2, 3)…

A: The given points are -4,5, 0,7, 2,3

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: 10. Triangle JLM with vertices J(-5, 7), L(8, 3), and M(-3, -1): (0, – 5) J'(__ L’(__ M’ (__,

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Q: 16. Triangle CDE with vertices C(2, 4), D(6, 7), and E(7, 3): 90° counterclockwise about the origin

A: New points after rotation 90 degree counter clock wise about the origin is given by: X = xcosθ +…