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## Which rule describes the composition of transformations that maps bcd to b”c”d”?

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 image of Δ B’C’D’ by translate 6 units to the right

and 5 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

#LearnwithBrainly

Compositions of Transformations | Cartesian Coordinate System – Compositions of Transformations – Free download as PDF File (.pdf), Text File (.txt) or read online for free. Graph and label the following equations, a and b, on the accompanying set of coordinate axes. a: y x 2 b: y ( x 4) 2 3 Describe the composition of transformations performed on a to get b.Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y. ExplanationThe 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.

Which rule describes the composition of transformations… – 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…The rule which describe the composition of transformations that. maps ΔBCD to ΔB"C"D" is: Reflection across the y-axis composition 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.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.

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