For #12-15 Identify the order and magnitude of rotational symmetry for the figure. 12) 13) 14) 15)

Q: 12 3. 5. 13 18 -1 For what value of hs in the plane spanned by j and i? Preview Answers Submit…

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Q: 12. On the left of each of the following figures is a net for a three-dimensional object. On the…

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Q: A conic section is the set of all points in the plane such that the ratio of the distance from a…

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Q: 9.3.35 Point O is the center of the regular nonagon shown at the right. A B. Find the angle of…

A: To determine the angle of rotation about O.

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: 4. A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,…

A: Coordinate point is (30,0) Rotation is 270 degrees.

Q: 9. Is AP' Q' R'a 270° rotation of APQR about the origin? Explain. Ay 6 R R' -6 -4 -2 2. 6.

A: Find the coordinates from the graph

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 line and conic section. r = 8/(1 - sin u)

A: We can convert this into rectangular form. Then,…

Q: Graph the line and conic section. r = 1/(1 + 2 sin u)

A: Use the formula: x=rcos (u), y=rsin (u), x2+y2=r2   r (1 + 2 sin(u)) = 1r + 2r sin(u) = 1   Thus…

Q: 15. What is the resulting image of G' after a reflection across the x-axis followed by a translation…

A: We need to draw image after reflection.

Q: 3. Verify Euler's formula for the plane graphs shown below. B (a) (b)

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Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

Q: Consider the following. 2 = 1 10 rz Sketch a graph of the plane. 10 10 10 10 10 10 10

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Q: 13. Find the image of CD with C(0, 4) and D(3, 4) under a rotation of 90° about the origin.

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Q: Plot the points with polar coordinates 4, and 3, using the pencil. 4 2n 3 4 0. 4. 9. 11n 9. 5T 4 4…

A: Topic:- Geometry

Q: 9. The coordinates of point P on the (-). What unit circle are are the coordinates of Q if Q is a…

A: Given: The coordinates of point P on the unit circle are -34, 74 To determine: Coordinates of Q if…

Q: 2. What can you infer from the axioms and illustrations of the three-line and four-line geometries

A: Sol

Q: The notation (x, y) → (-x, y) defines a reflection on the coordinate plane, O True O False

A: Solving the problem by helping of a point.

Q: Graph the lemniscates in Exercises 13–14. What symmetries do these curves have? 13.r^2 = 4 sin 2u…

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Q: What must be the equations of the rotation about the point (1, -1) at an angle e=90°? O x' = y , y'…

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Q: Is the given statement true or false? Justify your answer. 10 3-2 cos 0 is a = 13. Directrix of a…

A: The given polar equation is r=103-2cosθ. Rewrite it as follows.

Q: The vertices of a figure are J(-4, 4), K(-3, 4), L(-1,1), and M(-4, 1) of the image after a…

A: We will perform the given transformation of vertices as shown below

Q: Find an equation of the plane P in Figure 9. 5. 3. FIGURE 9

A: To find the equation of the plane

Q: 4. 2. 4, CO Find the coordinates of the image of J (8,7) after a reflection over the x-axis. 10 2…

A: To determine the coordinate of a point obtained by the reflection in x-axis then the x-axis works as…

Q: Which of the following would be the coordinates of the image of C(-7,0) after a rotation by 90…

A: Coordinate after rotation

Q: the point c (-3 -1) is rotated 180 degrees clockwise around the orgin. What are the coordinates of…

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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: Which of the following point is the closest point on the sphere z² + y² + z² = 4 from the point…

A: Given Equation of Sphere X2+y2+z2=4 And point (3, 1, -1)

Q: .2 The surface z? = 1 is a 25 - - 36 hyperboloid of one sheet. Select one: OTrue OFalse

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Q: Consider the following. Z = 4 Sketch a graph of the plane.

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Q: Which of the following is a point on the sphere with radius r = 3 centered at the point (-1,0, -1)?…

A: We have given a center and radius of sphare

Q: Calculate the length of the astroid x2/3 + y2/3 = 1 (Figure 14). FIGURE 14 Graph of x2/3 + y2/3 = 1.

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Q: Which of the following graphical representations shows the intersection curve, in the first octant,…

A: We have to choose which one shows the intersection curve in first octant between a cylinder of…

Q: If the original 2-D shape and the reflected image combine to form a new 2-D shape, what is the angle…

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Q: 1)Identify the symmetries of the curve r = 3 + cose. Then sketch the curve in the ху-plane.

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Q: 1)Identify the symmetries of the curve r = 3+ cose. Then sketch the curve in the xy-plane.

A: Given curve is r=3+cosθ. Replacing θ by -θ, it results r=3+cos-θ=3+cosθ So, equation remains…

Q: Use the diagram below for questions 19-22 in which G is the centroid of AABC, FC = 35, AG = 42, BF =…

A: Use property of median of triangle

Q: Graph the image of trapezoid ABCD after a rotation 270° counterclockwise around the origin. 104 4.…

A: We have to find new figure after 270 degree clockwise rotation.

Q: What is the location of the image of P(−8, 1)P(-8, 1) after a counterclockwise rotation of 90°90°…

A: Given: Point P-8, 1. To find: Image of the point P after a counterclockwise rotation of 90° about…

Q: A shape has rotational symmetry when it looks the same after a rotation of less than 360 degrees.…

A: Rotational symmetry:        If it can be rotate by an angle between 0° and 360°

Q: What kind of conic section is given by the quadratic form ? -11x,? + 84x,x2 + 24x2? = 156 Transform…

A: Given quadratic form is-11x12+84x1x2+24x22=156The above conic is determined and transformed to…

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: 11) What are the indices for the planes drawn in the following sketch? а) (1-10) b) (-1 0 1) c) (-1…

A: Solution

Q: (i) Sael-²dz, where C is the anticlockwise unit circle |2| = 2. (ii) ſadz, , where C is the…

A: As per our guidelines we supposed to answer only three subpart in case of a multi part question.

Q: QUESTION 1 1.1. Look at the figure below and write 3 different shapes 1.1:1. 1.1.2. 1.1.3. [3]. 1.2.…

A: For 1.1 1.1.1=circle  1.1.2=triangle 1.1.3=trapezoid   For 1.2 = Line of symmetry =1

Q: What solid of rotation is created here if the axis of rotation is the x-axis? -2

A: to find:- type of solid generated after rotation about the x-axis.

Q: Graph the image of square JKLM aftera rotation 90° counterclockwise around the origin. 6. 2. 10 -2…

A: When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes…

Q: 10 Br 9. 8- 7. 6- 5. 4- 3. 2. D O i 23 4 5 67 8 9 10 Rectangle ABCD in the xy-plane above is rotated…

A: D(7,4) is fixed vertex  After 90° clockwise rotationif D=(a,b)  After 90° clockwise rotation  A=( a…

Q: What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2)…

A: Given that