Triangle ABC is congruent to triangle A"B"C".

Which sequence of transformations could have been used to transform triangle ABC to produce triangle A"B"C"?

A. Triangle ABC was translated 10 units right and then reflected across the x-axis.

B. Triangle ABC was reflected across the y-axis and then translated 7 units down.

C. Triangle ABC was reflected across the x-axis and then translated 9 units right.

D. Triangle ABC was translated 7 units down and then 9 units right.

Question

Emmett Haynes

Mathematics

5 January, 12:02

Triangle ABC is congruent to triangle A"B"C".

Which sequence of transformations could have been used to transform triangle ABC to produce triangle A"B"C"?

A. Triangle ABC was translated 10 units right and then reflected across the x-axis.

B. Triangle ABC was reflected across the y-axis and then translated 7 units down.

C. Triangle ABC was reflected across the x-axis and then translated 9 units right.

D. Triangle ABC was translated 7 units down and then 9 units right.

+2

Answers (1)

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Suzy · Answer 1

A. Triangle ABC was translated 10 units right and then reflected across the x-axis.

not, because this would lead to a triangle with the vetix B'' down

B. Triangle ABC was reflected across the y-axis and then translated 7 units down.

This is perfect: the reflection across the y-axis places B' in (3,6), C' in (3,2) and A' in (6,2). Translation of all of them 7 units down, keeps the x-coordinaltes and decreases the y-coordinates in 7 units to finish with B'' (3,-1), C'' (3,-5) and A'' (6,-5. Which is what the figure shows.