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

Question

03-10-2019
Mathematics

contestada

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

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musiclover10045 musiclover10045 · Answer 1 · 2019-10-03T17:30:46+02:00

musiclover10045 musiclover10045

03-10-2019

Answer:

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

Explanation:

The reflection across the x axis would produce A'B'C' then the translation of -6 units x and -2 units y would move the shape to A"b"C"

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abidemiokin abidemiokin · Answer 2 · 2022-01-03T13:35:18+01:00

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

According to the reflection rule;

Reflection over the x-axis: [tex](x, y) \rightarrow (x, -y)[/tex]

From the diagram shown, we can see that images C and C' are mirror images of each other, hence they reflect over the x-axis.
Also there is a translation from C' to C''according to the translation rule: translation [tex](x,y)\rightarrow (x-6, y-2)[/tex]

Hence the rule that describes the composition of transformations that maps ΔABC to ΔA"B"C"? is reflection across the x-axis composition translation of negative 6 units x, negative 2 units y

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