. Shifting the Coordinate Plane Suppose that each pointin the coordinate plane is shifted 3 units to the right and2 units upward.(a) The point 15, 32 is shifted to what new point?(b) The point 1a, b2 is shifted to what new point?

Q: Preimage point C has coordinates C (2, -4). First, translate Point C 4 units left and 6 units up,…

A: Given that the point C has coordinates C(2,-4).

Q: Triangle XYZ is rotated 90° Counterclockwise about the origin. The Coordinates of the pre-image are…

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Q: 11. The point (a, b) is reflected over the x-axis, then the y-axis, then the y-axis again, and then…

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Q: Directions: Find the distance between each pair of points. 1. (-4, 6) and (3, -7) 2. (-6,-5) and (2,…

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Q: child enters a carousel that takes one minute to revolve once around the child enters at the point…

A: Here it is given that, A child enters a carousel that takes one minute to revolve once around the…

Q: 3. 6. (7, 4) and (-14, –5) 7. (5,-5) and (-5, 5) 8. (-2, 8) and (2, -10) 9. (-100, 30) and (45, -90)…

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Q: (b) A rectangle defined by four points A(0, 0, 0), B(2, 0, 0), C(2, 2, 0) & D(0, 2, 0) is rotated…

A: Given the rectangle with vertices, A(0,0,0), B(2,0,0),C(2,2,0), D(0,2,0). We need to rotate this…

Q: A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates A(1,…

A: Given  A(1,-1), B(1,-2), C(2,-1)are the initial coordinates of the House A, B, C. A'(3, -4) are the…

Q: Triangle XYZ is rotated 90° counterclockwise about the origin to produce AXYZ. What are the…

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Q: Find the point that is symmetric to the point (0,-6) with respect to the x-axis, the y-axis, and the…

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Q: 11. True or False The point (-1,4) lies in quadrant IV of the Cartesian plane.

A: The two dimensional Cartesian system Divides the plane into four equal parts , this is called as…

Q: < View All Questions Point A has coordinates (3, 4). After a translation 4 units left, a reflection…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: -. If the point (-6, 4) was rotated 90° counterclockwise about the point (2, 1) then which of the…

A: We first plot (-6,4) and (2,1) and join them using a line.Then we try to draw an angle of 90° in the…

Q: A translation of a figure can be considered A turning of the figure about some fixed point b. A…

A: The answer is (b).  In Euclidean geometry, a translation is a geometric transformation that moves…

Q: 4. (a) Describe the three-dimensional coordinate system. What are the coordinate planes? (b) What is…

A: * As per our guidelines, we are supposed to solve only the first three problems/subdivisions. Please…

Q: 35. The figure below shows AABC plotted on a coordinate plane. The triangle is first rotated by 90°…

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Q: Referring to Example 6 on page 71 of the workbook, suppose that (a, b) is the projection of the…

A: Given that (a,b) is the projection of the point (5, 8) onto the line y=-13x. Definition: The…

Q: Point A is located at (4,–7). The point is reflected in the x-axis. Its image is located at 1)…

A: Concept - When image is about x-axis,x- coordinate does not change.sign changes for…

Q: 2 2. Which of the following explains why this is not a translation? -6 3 4 E' D' A' B" -6 The…

A: From the given option third option explains that why this is not a translation

Q: Triangle DEF has vertices D (-3, -2), E (4, 4), F (4, -1). What are the coordinates of F after the…

A: We have to find the point

Q: Variations on Translating a Point Nov 12, 3:16:10 PM The image of the point (2, 1) under a…

A: Given

Q: A.Geometry.Q3.2021 Question: 1-28 Quinn is dropping off cookies to her friends Paula and Renato at…

A: Length of line joining two points A(x1,y1) and B(x2,y2) is given by,            L =(x1-x2)2 +…

Q: 1) Fill in the blanks. a) A coordinate system can be formed by passing a z-axis perpendicular to…

A: We have to fill the given blanks.

Q: 13. Two cars are traveling on two different roads that are perpendicular to each other. On a…

A: We are going to solve

Q: 51. Shifting the Coordinate Plane Suppose that each point in the coordinate planc is shifted 3 units…

A: ** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…

Q: a. 4 2. Center is at the origin and contains the point a (0, 4) b. (3, 5) etively are

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Q: 3 3 Find the coordinates of the point of the way from A to B. 10 of the way from A to B are 10 The…

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Q: 3. Point A is located at (2, 1). The point is reflected over the line y =-x to obtain image point…

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Q: Triangle ABC is a right triangle with one side located on the x-axis. The triangle is rotated 90°…

A: Given: The given triangle ABC is a right triangle. The coordinates are A(2, 0) and B(6, 0), and the…

Q: U(1, -7 -6 -5 -4 -3 -2 -1 0 1 3 4 5 6 7 T(3, -2)_ -5 -7 Quadrilateral RSTU will be reflected over…

A: The rule for a reflection over the y -axis is (x,y)→(−x,y) The rule for a translation k units down…

Q: Point G is 3 units away from line y = -2x + 1. If point G is on the line y = x + 1, which of the…

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Q: Part A The quadrilateral ABCD has coordinates A(1,-1), B(3, -2), C(5, -5), and D(1,-4). If ABCD is…

A: Pre-image Image A(1,-1) 2·1,-1=A'(2,-2) B(3,-2) 2·(3,-2)=B'(6,-4) C(5,-5) 2·(5,-5)=C'(10,-10)…

Q: 109. Shifting the Coordinate Plane Suppose that each point in the coordinate plane is shifted 3…

A: Given : Each point in the coordinate plane is shifted 3 units to the right and 2 units upward. we…

Q: Location A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest…

A: Given: A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on…

Q: Given the point A(3,7) give it's image coordinates after a reflection in the y-axis

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Q: Triangle DEF has coordinates D(4. -1). E(5. 2), and F(1, 2). Determine the coordinates of the…

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Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: P(−2,−3,6) is a given point and O is the origin. Find the coordinates of seven other points in three…

A: given: the point P(-2,-3,6) is a given point and O is the origin. we have to find the coordinates of…

Q: 3-х у+4 16) Convert the symmetric equation of the line l: to the cartesian equation. 4 -7 IT-21

A: topic - cartesian equation of a line

Q: Points A and B have symmetry with respect to point C(2, 3). Find the coordinates of B if A is the…

A: Sorry we can answer the first three parts as per the honor policy. Please resubmit the other…

Q: Bonus The point (a, b) is rotated about the origin 180° and then reflected in the x-axis. What…

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Q: 2. Higher Order Thinking An architect is designing a new windmill with four sails. In her sketch,…

A: We will solve the following.

Q: The image point of A after a translation right 3 units and down 1 unit is the point B(9,−7).…

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Q: Directions: Determine the line of 10 reflection that maps triangle ABC onto A'B'C: Write your answer…

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Q: Question5: А. Find the real number ( B) such that the line of symmetric equations y-2 ( x – 3 = = )…

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Q: Triangle RST has vertices R(10, 0), S(3, 4) and T(4, 2). What is the resulting image of S' after a…

A: The original coordinates of S : S(3,4) Vertical translation affects the y-coordinate and horizontal…

Q: 6+ -6 -5 4 -3 -2 -1 -2 -4- Give the coordinates of another point so the two points are symmetric…

A: (a,b) and (a,-b) are symmetric point across the x-axis(a,b) and (-a,b) are symmetric point across…

Q: 4 -3 -2 -1 -2 -3 -4 -5 -6 Give the coordinates of another point so the two points are symmetric…

A: topic - symmetry