A pentagon has vertices H (0,8), O (2, 0), M (2, -4), E (-2, -4), and R (-2,0). Find the coordinates of the pentagon after a dilation with a scale factor of 3.

Q: Write the coordinates of the vertices after a dilation with a scale factor of 1/3, centered at the…

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Q: 13. Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and…

A: The given equation of the line is: y=2x-2       and       y=-4x+16

Q: Suppose △ABC△ABC with coordinates A(2, 3) B(2, -1) and C(-3, -1) undergoes a dilation about the…

A: (x,y)=>(-2x,-2y)

Q: what are the new coordinates of the vertices after dilation with scale factor 3 of triangle DEF if…

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Q: | The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4, –16, –14),…

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Q: Find the coordinates of the vertices after a dilation with a scale factor of 2, centered at the…

A: Coordinate of vertices after dilation: The coordinate of vertex A(x, y) after dilation with a scale…

Q: A triangle has vertices A (-2,3), B (0,0) and C (1,2) What are the coordinates of the triangle if it…

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: Find the image of the point (3,-3) under a dilatation with center at the origin and a scale factor…

A: Given that

Q: a.      A scaled version of shape A was needed, such that its new coordinates become (-2,8) (8,6)…

A: Given data: new coordinates become (-2,8), (8,6), (10,-4), (0,-2)

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: - Triangle CDE with vertices C(-2, -2). D(1, -4), and E(-3, -4): a) dilation with scale factor of 4…

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Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: State the coordinate of the image of the given point B (-10, -6) under a dilation with a given scale…

A: Here the coordinate of Point  B(-10,-6) , we have to find the image under the dilation with a given…

Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2,–2). What are the coordinates of the…

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Q: 2. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7). (8,…

A: To calculate the mid point of join of given points. To find the slope of the line perpendicular to…

Q: Draw the figure and find the image of the rectangle with vertices A(-4, 2), B(2,2), C(2, –2) and…

A: Here Given corner Points of rectangle  are by  A(-4,2) ,B(2,2), C(2,-2) and D(-4,-2) Here scale…

Q: Write the coordinates of the vertices after a dilation with a scale factor of , centered at the…

A: Given,          The coordinates of the vertices after a dialation with a scale factor of 14 ,…

Q: Find the points on x=3-y^2 that are closest to the given point (1,0)

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the…

A: Note: Dilation with Center at Origin, (0,0): DO, k(x, y)=(kx, ky), O=center of dilation at (0, 0);…

Q: origin. 104 8- -10 -4 -2 2 4. 10 8- -4 H. -8- -10 F' = G'%3= H' = 6. 6, 4, 2. 6.

A:

Q: Use the given vertices to graph AXYZ and its image after a dilation centered at the origin with…

A: We have to find the dilated traingle coordinates which is centred at origin.

Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the…

A: Let's find.

Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: If the normal at (ap², 2ap) on y² = 4ax makes 90° at the vertex, then

A: Introduction :

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

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Q: The Cardovo Drive-In Movie Complex is a pop-up movie theater in a large field, allowing up to 5 cars…

A: Given : screen is 20 m across            The perpendicular edge of the field is another 10 m To find…

Q: Approximate the point of intersectión of the graphs of r and g. (x, y) = (

A: Given,

Q: Find the total length of the graph of the astroid x2/3 y2/3 = 4.

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

A: The vertices of the given triangle are Q(-1,-2)R(-2,0)S(1,1)

Q: Find the coordinates of the midpoint of a segment with the given endpoints 1) T(3,1), U(5,3) 2)…

A: By midpoint formula, the coordinates of the midpoint of a segment with the endpoints (x1, y1) and…

Q: Find the distance between the point (-2, 4) and the point of origin. * O 4 O 2v5 O 5v2 O 5

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Q: 2. Square BCDE with vertices B(-3,-4), C(0, -3), D(1, -6), and E(-2,-7); scale factor: k = 4, center…

A: The given square BCDE with vertices are B-3,-4, C0,-3, D1,-6, E-2,-7; scale factor k=4, center of…

Q: 104 2 R -10 -8--6 -4 -2 4. 8. 10 -4 8- -10 P' = R' = S = 2. P. 8. 41

A: Since the dilation is of factor 3 we can say that all the vertices are scale up by factor 3 .

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: 2) Find the coordinates of the midpoint of a segment with given endpoints. 6. X(2, -7), Y(-1, 7) 4.…

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Q: Graph A ABC with vertices P(1,2), Q(3,1) and R (1, -3) and its image after a dilation with a scale…

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Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

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Q: show that points (2) ) are ( 3 ) 2 (52) A on-Coplaner ( ره ) -

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 5' E, centered at the…

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Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

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Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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Q: the boat from its starting point?

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Q: Transform the triangle with the rule (x,y)→(x+2,y-4)

A: From figure, it is clear that the points of the triangles are as given below (1,3),(2,1) and (5,4)

Q: 6- 4 -10 -8 -4 -2. 4 6. 10 -2 -4 8- -10 Q' = (| %3D R' = %3D S' 00 2. 6. 6.

A: dilation with a scale factor of 2, therefore we multiply by factor 2 to each term of co ordinate…

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: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

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.