16) Triangle ABC has vertices A(0, 0), B(6, 0) and C(2, 8). (a) Graph Triangle ABC and its image, Triangle A'B'C', under the size transformation with center A and scale factor 2.5. (b) What are the coordinates of A', B' and C'?

Q: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

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Q: 3. identify the kind of conic section being illustrated (circle, parabola, ellipse, hyperbola) by…

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Q: 6. Find equation of the plane passing through the points (2, 0, 3), (1, 2, 3), and (-3, -1, 5)

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Q: When Spherius dips through Flatland, his cross section appears as a circle whose circumference is…

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Q: Find the coordinates of the point 7 of the way from A to B. of the way from A to B are The…

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Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on th

A: We have to find point.

Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: Describe a transformation that carries the triangle with vertices (0,0), (13,0), and (3,2) onto the…

A: The vertices of the given triangles are: 0, 0, 13, 0 and 3, 2 Plot the vertices in the graph: Draw…

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

A: see below the answer and calculation

Q: Suppose that you are an engineer designing an arch bridge spanning the entrance to a marina. Small…

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Q: If all conics are defined in terms of a fixed point and a fixed line, how can you tell one kind of…

A: Solution: We have Conics: It is a locus of a point that moves in a plane, such that a ratio of its…

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

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Q: What is the image of the point (3,-6) after a rotation of 90° counterclockwise about the origin?

A: Consider the given point 3,-6

Q: Find the Orthogonal Trajectory of the Family of Centra Conics with common foci and axis.

A: Let us suppose the family of curves be given by the equation is:…

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: Point G partitions the directed line segment HJ in the ratio 3:2.  If point G is at (1, 5) and point…

A: Given; Point G partitions the directed line segment HJ in the ratio 3:2.  point G is at (1, 5) and…

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: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: 2 (6, 0) 10 9- plane is taking off. As it ascends during take-off, it makes a slanted line rainbow…

A:

Q: The vertices of Figure A are located at ( − 9,4 ) , ( − 3,6 ) , ( − 2,3 ) , ( − 8,1 ) on a…

A: Figure A are located at ( − 9,4 ) , ( − 3,6 ) , ( − 2,3 ) , ( − 8,1 ) on a coordinate plane. Figure…

Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices…

A:

Q: 7. What is the image of the point (-3, 14) after a counterclockwise 90" rotation?

A: We have to find out

Q: 5. Find the transformation that rotates the plane by 60° anticlockwise about the point (-1,2). Also,…

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Q: 11. Explain point symmetry, line symmetry, and rotational symmetry.

A: We have to explain point symmetry, line symmetry, and rotational symmetry.

Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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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: 5. Which of the Two-Reflection Theorems for Rotations and Translations could apply when the…

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Q: What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the…

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Q: 2. Sketch and identify the graph of z2 = x² + xy-, az- and yz-planes or sketch the contour map using…

A: The given equation is: z2=x2+y24 The equation on xy-plane is: x2+y24=0 That are all the points on…

Q: 2. What are the foci of this ellipse? 5 -5 O (-1, –4V5) and (–1, 4v5) O (-1, –2/5) and (-1,2/5) O…

A: By carefully examining the figure we will find that the major axis should pass through the line x =…

Q: 7. If the point G(3, 2) is transformed according to the rule (x, y) -> (x, y + 2) what are the…

A: Given Points : G ( 3 ,2 )

Q: 8) Rectangle GHJK with vertices G(2,3), H(2, 5), J(6, 5) and K(6, 3) is rotated 180° about the…

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Q: Graph, Triangle XYZ with vertices X(-6,4), Y(0,6), and Z(-4,2): 180 degree counterclockwise…

A: Given: X-6,4Y0,6Z-4,2

Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: What is the image of the point (6,-3) after a rotation of 180° counterclockwise about the origin?

A: Our Aim is to tell the image of the point (-6,-3) after a rotation of 180°counterclockwise about the…

Q: 17. Ellipse: center (-2, 1), vertex (-2,5), passes through (0, 1)

A: Equations of curve is

Q: Find the image of the point (3,6) under a dilatation with center at point (-3,6) and a scale factor…

A: P '=C+d( P- C)  Here C is centre of dilation, P is initial point, d is scalar factor.

Q: 5. Find the transformation that rotates the plane by 60° anticlockwise about the point (-1,2). Also,…

A: We will solve this problem in the following steps.

Q: Find the ODE of the family of hyperbola center at the origin.

A: Find the ODE of the family of hyperbola center at the origin.

Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

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Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: If a point moves on a plane is such a way that the sum of its distances from two fixed points on the…

A: Let, x,y be a point on the locus.p,q and r,s be two points.distance between x,y and p,q…

Q: What is the image of the point (-7,9) after a rotation of 270 counterclockwise about the origin

A:

Q: 6) An object is reflected across two concurrent lines and the angle from the first line of…

A: Given two concurrent lines m1 and m2. Also, given the angle from the first line of reflection to the…

Q: Consider the point. (3, 5, 6) What is the projection of the point on the xy-plane? (x, y, 2) = What…

A: given point is (3,5,6) find the projection on xy, yz , zx planes  also find the length of diagonal…

Q: A parallelogram has verticies of (0,0) (0,6) (4,4) (4, -2). Which transformation maps the…

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Q: (2) Is it possible to find A so that it represents the transformation of the plane: horizontally…

A: