If the original 2-D shape and the reflected image combine to form a new 2-D shape, what is the angle of rotational symmetry for the new 2-D shape?

Q: 16. What is the image of (2, -2) rotated 270° counterclockwise about the origin? А (-2, -2) в (-2,…

A: Solution

Q: What is the image of the point (4, 5) after a rotation of 90° counterclockwise about the origin?

A: Given data: The given coordinate of x is x=4. The given coordinate of y is y=5. The given angle in…

Q: 8. If the figure has rotational symmetry, find the angle of rotation about the center that results…

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Q: Which Image shows a rotation?

A: Given that:  1.                                          2.

Q: Complete the following: 1. What is the difference between a rotation in two dimensions and a…

A: (1) If we consider the spherical coordinates r,θ and ϕ if the rotation is only in two dimensions…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy = 3

A: We need to rotate the axes by θ = π / 4 Hence,  x' = x cos(θ) + y sin(θ) = (x + y)/√2 y' = - x…

Q: What is the image of the point (-2, 4) after a rotation of 270 counterclockwise about the origin?

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Q: Identify the conic with th e given equa­tion and give its equation in standard form…

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Q: The figure below shows the tetrahedron before rotation. Determine which single counterclockwise…

A: If you rotate the given tetrahedron 180° counterclockwise about the z-axis, then x-coordinate of the…

Q: Graph the Image of APOR after a rotatilon 270° counterclockwise around the origin. 10 -10 一4 -2 2. 4…

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Q: What are the coordinates when the image has a rotation of 90° counterclockwise about the origin?

A: The given graph: What are the coordinates when the image has a rotation of 90° counterclockwise…

Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: Intuitively, this means that there is no " quaternion representing a rotation.

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Q: P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the h

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Q: (a) Explain the main difference between the Euler angle representation and Quaternion representation…

A: As per the policy, we are allowed to answer only 1 questions at a time. So, I am answering the first…

Q: Suppose that A and B are rotations of 180° about the points a and b,respectively. What is A followed…

A: Let Let A be the rotation of 180 degree about point a. Then a is midpoint of P and f(P). It follows…

Q: 1- Sketch the following conic sections: a 0 2 -4y+8 -4x2 =

A: We have to sketch the following conic section

Q: Consider the figure. Which rotation about its center will result in the regular pentagon being…

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Q: What is the smallest rotation clockwise about the center of the figure that will carry the entire…

A: Given figure: The main objective is to find the smallest rotation clockwise about the center of the…

Q: What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ? Hint:…

A: Given query is to find the coordinates of a after 90° counterclockwise rotation.

Q: Graph the image of square JKLM after a rotation 90 counterclockwise around the origin. 10

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Q: 10. Consider the regular octagon below with center at the origin and a vertex at (4, 0). -3 -2 -1 3…

A: Given, Octagon  whose centre at the origin and one vertes at (4,0)

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

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Q: Explain what is the relation to the conic section of the given object.

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, The equation is 6x2 - 4xy + 9y2 -20x -10y - 5 = 0.

Q: What is the polar representation of z = 6i?

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Q: What are the order of rotational symmetry and the angle of rotation of the 2-D shape?

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Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: Which shape is an example of rotational symmetry?

A: Rotation symmetry is the property that a shape has exactly same look after some angle of rotation…

Q: sketch the following Conic Seetions 25 10-5 Cosca 2+ cosa

A: (1) And the graph of this equation is given by following-

Q: If P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the…

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Q: Find an equivalent quadratic form by using a diagonal rotation, (by the principle axis theorem. I…

A: Given: Q=2x2+4y2+6yz-4z2=80

Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: 1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x +…

A: Since, you have asked multiple questions , we will solve the first question for you. Also, the first…

Q: Copy this diagram and shade two more squares so that it has rotation symmetry of order 4.

A: solution is as follow

Q: Explain what is the relation of the conic section to the given object.

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: How does an image compare to its preimage after a -45 degree rotation?

A: Query- How does an image compare to its preimage after a -45 degree rotation. Answer-As reflection…

Q: What is the order rotation symmetry?  what is the angle symmetry of shape?

A: The given figure has 5 vertices and it is a regular shape. So it has rotation symmetry of order 5.

Q: Select the figure with no line symmetry and a rotational symmetry angle of 180°. A B)

A: Rotational Symmetry:       If an object is rotated and the result looks exactly as same as the…

Q: 1) reflection are equivalent to a rotation. True or False: Three consecutive reflections across…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the eccentricities of each of the conics given below. (a)        y = 4x2 − 2019x + 83 (b)…

A: Given that: (a)        y = 4x2 − 2019x + 83 (b)      x2/42 + y2/62=1 (c).     x2/42 − y2/62=1

Q: 10. What will be the coordinates of point T after a 180* rotation about the origin?

A: Given coordinates of RSTU R (2,5) S (7,7) T (6,4) U (1,2)

Q: What is the smallest rotation clockwise about the center of the figure that will carry the entire…

A: Given figure: The main objective is to find the smallest rotation clockwise about the center of the…

Q: A 40 degree clockwise rotation is the same as a degree rotation counterclockwise. A 210 degree…

A: Given ,  A 40° clockwise rotation . A 210° counterclockwise rotation.

Q: 10 4 2 E -8 -4 -2 4 6. 8. -2 2.

A: rotation 270 degrees counterclockwise around the origin is (x,y) changes to (y, -x)

Q: What are the coordinates of A 'after a 180 ° clockwise rotation?

A: Rotation of 180 degrees clockwise means rotation about the origin.

Q: What is the image of the point (1,8) after a rotation of 180° counterclockwise about the origin?…

A: topic - rotation of a point 180 ° counterclockwise rotation of a point will produce a image with…