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Complex Analysis - Can We Characterize The Möbius Transformations...

 April 08, 2021     No comments   

...the composition of transformations that maps figure ABCDE to figure A"B"C'D" 90 degree rotation about point C prime composition reflected across line m Reflected point C prime composition reflected across line m Reflected across line m composition 180...12. To describe a sequence of transformations that maps triangle ABC onto triangle A''B''C'', a student starts with a reflection x-axis. ` Quadrilateral ABCD is transformed according to the rule (x, y) → (y, -x). Which is another way to state the transformation?Describe the maps generally and write about the most noticeable differences between them. You may ask yourself the following questions to identify general changes Task 1. The maps below show changes that took place in Youngsville in New Zealand over a 25-year period from 1980 to 2005.Transformations are functions that map $n$-D vectors to other $n$-D vectors: $T In the next chapter, 3D rotation representations will discussed in further detail, but for now let us describe some of their properties. Compositions of linear transformations¶.Which rule best describes the composition of transformations that maps triangle ABC to A"B'C".

20. Write a sequence of transformations that maps...

1. Which of these transformations appear to be a rigid motion? (I) parallelogram EFGH parallelogram XWVU (II) hexagon CDEFGH hexagon YXWVUT (III) triangle EFG triangle VWU Question Question 20 5/5 Points What translation rule can be used to describe the result of the composition of and ?The resulting transformation can frequently be described by an equivalent single transformation. Example 1. The shape S is reflected in the line x = 4 to give the image The image is S˝. Describe the single transformation that maps S onto S˝. The diagram illustrates the transformations described.Most maps describe both cultural and physical features found on the Earth's surface in two-dimensions. Maps can be of two general types Cartographers use a number of techniques in the process of map creation. A number of mathematical transformations can be employed to best depict...Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y. Explanation

20. Write a sequence of transformations that maps...

IELTS Writing 1: Describing a Map [Lesson] | Englobex

Which rule describes the composition of transformations that maps ABCD to AB"C"D"? C C OTS-sory - XV) OryxoTs, 6(x, y) O T6, -5 0 Ty - xxis(x, y) O ry-axis OTG, - g(x, y).Composition of transformations is not commutative. As the graphs below show, if the transformation is read from left to right, the result will NOT be the same as reading The composition of reflections over two intersecting lines is equivalent to a rotation.Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape.Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? RC',180° rm. A composition of transformations maps pre-image EFGH to final image E"F"G"H". The first transformation for this composition is _, and the second transformation...Which sequence of transformations maps ABCDonto A'B'C'D'and then maps A'B'C'D'onto A"B"C"D"? 174 Triangle ABCand triangle DEFare graphed on the set of axes below.Which sequence of transformations maps triangle ABConto triangle DEF ?

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

   (x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

   if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

   magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

   by 5

∴ Δ B"C"D" is the symbol of Δ B'C'D' by means of translate 6 units to the right

  and Five units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in

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