2 multiple choice questions Multiple ChoiceIdentify the choice that best completes the statement or answers the question.1. Write a rule for the translation of AABC toAA'B'C'.HAa.A(x,y) → (x-1,y-3)b. (x,y) → (x+2y)C.(x,y) → (x,y+2)d. (x,y) → (x+3y+2)C42. Graph AB with endpoints A(3,-3) and B(3, 1) andits image after a reflection in the line y = x..B'124'Bb.C.d.X+**A'B¹-BBboBBA●B

Question 1:write a rule for the translation of to .Question 2:Graph AB with endpoints A(3,-3) and…

Answered: dentify the choice that best completes…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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1.Suppose a point has been shifted 4 units up and 7 units to the left. Write a rule for the translation. A. (x,y) --> (x+4,y+7) B. (x,y) --> (x+7,y+4) C. (x,y) --> (x-7,y-4) D. (x,y) --> (x-7,y+4) 2. Suppose a point on the pre-image of a triangle has been translated from to . How many units vertically and horizontally has the pre-image been translated? A. Horizontally: 5 units to the right, Vertically: 3 units up B. Horizontally: 6 units to the right, Vertically: 3 units up C. Horizontally: 6 units to the left, Vertically: 3 units down D. Horizontally: 3 units to the right, Vertically: 6 units up
In the diagram: ΔLMNΔLMN is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and N(−1;2)N(−1;2). LMLM is a vertical line parallel to the yy-axis and ΔLMNΔLMN has been translated to form ΔL′M′N′ 4.1 Determine the coordinate of M. 4.2 Determine the coordinate of N'. 4.3 Describe the translation in words. 4.4 Write an algebraic rule for this translation in the form (x;y)(x;y). 4.5 If A is reflected about the line y=xy=x, determine the coordinates of A’. 4.6 Write an algebraic rule for reflection about the line y=xy=x.
On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1). Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y) → (–y, x). Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)
What is the rule used to transform ΔABC to its image? A(−3, 5), B(2, 8), C(−4, −5) and A'(−3, −5), B'(2, −8), C'(−4, 5) A.Rm(x, y) = (−y, −x), where the equation of line m is y = −x B.Rn(x, y) = (y, x), where the equation of line n is y = −x C.Ry-axis(x, y) = (−x, y) D.Rx-axis(x, y) = (x, −y)
The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…
how do you find k and the coordinates (x,y) of the point of tangency?
9. Let y=3x+2 a) typically we write points in this scenario as (x,y), not (y,x), why is that? b) on a horizontal axis, represent 3 things: x=-2, x=4, and Δx=4-(-2). c) on a vertical axis, represent 3 things: y=-4, y=14, and Δy=14-(-4). d) draw a sketch of y=f(x) which includes the points (-2,-4) and (4,14). Mark and label Δx and Δy for those two points on this graph. e) calculate that rate, then write the change equation for x and y f) if the change in x is 2, what is the change in y? g) if the change in y is -12, what is the change in x? h) if we swapped x and y (with x on the vertical axis so x=g(y)), what would the rate be?
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be a cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuration.Centerville is located at (10,0)(10,0) in the sexy-plane, Springfield is at (0,7)(0,7), and Shelbyville is at (0,−7)(0,-7). The cable runs from Centerville to some point (x,0)(x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)= We find that f(x)f(x) has a critical number at x=To verify that f(x)f(x) has a minimum at this critical number we compute the second derivative f''(x)f′′(x) and find that its value at the…
Think you are given a point A (2, 7). First apply a translation (-n, -m) then shear by (3/2, -3) and finally apply again a translation (m, n). What will be the final coordinates of that point? Here m=2, n=3.
A triangle has coordinates F’(0,0), G’(-2, -2), and H’(0, -5). What is the correct rule for translation?
A translation is defined by the rule (x, y)⟼(x-2, y+5). If the image point is (3, 2), find the coordinate of the original point. a. (-5, 3) b. (-5, -3) c. (5, -3) d. (5, 3)
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y) - > (1/4 x, 1/4 y) to create pentagon M'N'P'Q'R'. Which statement is true?

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