Define an isometry.

Q: Which shape is congruent to the following shape?

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Q: Give solved exampless off eliment and metric tnsor

A: Given: Example of  element and metric tensor.

Q: -6720°

A: The given angle, -6720°

Q: Let E be any Euclidean sp The following properties hol ap f: EE is an isometry fof=

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Q: Describe the locus of points in space that are at a distance of 3cm from point P

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Q: find all angles that are coterminal with the given angle. (let k be an arbitrary integer) -225…

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Q: points are collinear.

A: Not Collinear We have to check that the given points are collinear or not. The given points are…

Q: prove the parallelogramequlity:

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Q: Suppose that Find the Jacobian Metrix for map.

A: Given y1=x1x2-x2x4y2=x12-x42y3=x1x2x3x4

Q: using projection concept, show thet ACで)-T。+ で

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Q: Show that the real line is a metric space.

A: Answer is mentioned below

Q: Take the topology, = {,, {a, b}, {a}} on X = {а, b}. Then the product topology on X. Xis fa X ||

A: See the attachment

Q: Verify that the discrete metric is actually a metric.

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Q: Let two metrics be bi-lipschitz, prove it is an equivalence relation

A: Find the attachment for the solution.

Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: All cones are similar. TRUE OR FALSE?

A: All cones are similar. TRUE OR FALSE?

Q: Find the angle of least positive measure coterminal with the given angl 869°

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Q: how to prove a map is unique?

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Q: Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B. B

A: Given:

Q: Define collinear points.

A: Define collinear points.

Q: Lew. sketchthe following symmetriesof theme currer andidentifythe to relt Coso

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Q: 2. Find the angle of smallest positive measure coterminal with-75°.

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Q: Draw all lines of symmetry for the following figur

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Q: What is the largest negative coterminal angle of 3

A: The largest negative coterminal angle of 2π3

Q: What is the area of the shaded semi-circle

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Q: Show that an isometry of Rn is one-to-one.

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Q: What are the major arcs of OA that contain point Q? R

A: Circle Question

Q: Which of the folowing represents an orthographic projection of the side of the following fi

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Q: . Prove the SSS triangle congruence condition by using the Hinge Theorem

A: let the two triangle prove the triangle congruence condition by using hinge theorem.

Q: Show that every point of R is zero distance from Q

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Q: 124°

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Q: Find the boise for the in- topology. Find a base for the Standord tepology-

A: This is a question of topology.

Q: Special paper that contains can be used to aid in making an isometric drawing. O blue lines O…

A: We need to understand the basics of three dimensional drawing in order to understand the tools which…

Q: The least positive coterminal angle is for 64°

A: Given angle is : 64∘ To find  the least positive coterminal angle must 360∘    Least positive…

Q: Prove that congruence of angles is an equivalence relation. Hint: Refer to the proof for congruence…

A: Two angles are said to be congruent if they are equal in magnitude.

Q: Find the angle of smallest possible positive measure coterminal with the given angle. 926 degrees

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Q: Special paper that contains an isometric drawing. can be used to aid in making O blue lines O dots O…

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Q: What is the symmetric property

A: The below explanation is the answer.

Q: Discuss the applications of topology in other field of science.

A: 1.Applications to Digital Image Processing: Nowadays, computerized pictures are getting one of the…

Q: Determine the DE of the family of Circles with center at the origin

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Q: Outline the necessary transformations to prove CBF ≅ EDF using paragraph proof. Be sure to name…

A: CB║ED And CB≅ED   Since it is given that CB≅ED   The ΔDEF is a reflection of ΔCBE along point 'E'…

Q: 1. -210°

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Prove that a 40° angle is not constructible.

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Q: 1.Determine the line limit {an} = 37 (2cos ! en

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Q: What is the smallest negative coterminal angle of -14pi/3?

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Q: Paragraph proof with a picture, please

A: To prove: Congruent chords are located at the same distance from the center of a circle.

Q: Prove that rotation is an isometry.

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Q: Compute the adjoint of the foll

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 6. Show that the mapping given below is (a) one to one (b) is not an isometry.

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Q: Let ū=(1,l02) and V=(-1,3,0), find the distance dlū,).

A: