Which rule describes the composition of transformations that maps δabc to δa"b"c"?

Asked by wiki @ 07/11/2020 in Mathematics viewed by 309 People

Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

Translation of negative 6 units x, negative 2 units y composition reflection across the x-axis
Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y
Translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y

Answered by wiki @ 07/11/2020

Answer:

Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.

Step-by-step explanation:

To find the right order in this transformations from ΔABC to ΔA"B"C", we first need to consider that the initial figure is ΔABC, which is transformed to ΔA'B'C', and then to ΔA''B''C''.

So, from the image we can see that from ΔABC to ΔA'B'C', the transformation applied is reflection across the x-axis, because ΔA'B'C' is an inverted image of the original, like a mirror.

Then, from ΔA'B'C' to ΔA''B''C'', we can see that the transformation is a combination of translations, to the left side and down side. From the graph we can see that it moved exactly, 6 negative units in the direction of the x-axis, and 2 negative units in the direction of the y- axis, in other words, it moved 6 units to the left and 2 units down.

Therefore, the correct answer is the second one:

Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.

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